The words you are searching are inside this book. To get more targeted content, please make full-text search by clicking here.
Discover the best professional documents and content resources in AnyFlip Document Base.
Search
Published by Kayeng Vang, 2023-08-08 01:41:10

ປື້ມແບບຮຽນ ຟີຊິກສາດ ມ6

ຟີຊິກສາດ

Keywords: ຟີຊິກສາດ

45 W  %fi*( & &fi' - ("   fiffi!  fifi ff 2fi"+& . ( %fi &     "*  fi- & %!   &  / 5.8( *(&fi' - ("   fi  &* " #   %&   %" +    ! 3- 3 ffl & &) *&fi%fi ! - * fi". 4.2  fi %fi*(  &fi' - ("   fi *(&fi' - ("   fi  3 ff  "ffl & ffl ) (: - &) ("  fi, ff  "% & *(  &fi !  - &) (" *3  (/ 5.9). 1) &) (" fi : * +  & & ("   fi2$    ffl & fi *ff&- fi2$fifl  $ff%fi ffl / fi %/ .  2) ff "% & *(  &fi- : * +  & %*(  &fi* - &fi ffl - fi3- fifi !"ffi!   &* $. 3) &) (" *3 : * +  & *fi   !  (" fi '  ffl fi *ff &- fi2$fifl  $ffffl / fi$ fl 1!.  !) *(  &fi' - fi   ! )  $   (turbine) fi  ,  )  &) (" fi 4& )  (" . ff "% & *(  &fi- !& / / ! &) (" *3  (0 ' fl *3)   ). !) *(  &fi' - ' 2 / $1- !*2,   &) (" fi   & !$"  * & fi- # ! fi & 0 '- 2 / &) /. ff "% & *(  &fi- !& /  !  / &) (" *3  (fi % fi ).  !) *(  &fi' - fi ff  &,   &) ("  fi   & !$"  * & fi# - ! fi & 0 '- 3/ 2$ & / fi *ff   . ff "% & *(  &fi-  & $  !   &) (" *3  (fi ff fi ). 2 / 5.10 ffi & "   fi & $  ) %fi*(  &fi' - fi   fi  )  fifi )  ' 4) ffl*%   ffl &) A !"*%   #$ *(&fi - & fi   B. $1'   *%   $ &) / C * 2$!/  *( / &fi - &# 2&) /. *(&fi - & fi   +  &  fi *%   ! fifi &) /ffl '$"fi # "   Z. / 5.9 &)(" fi &)(" *3   ffl fi Q1 Q2 WQQ  1 2 / 5.10  fi %fi*(  &fi' - fi   )  Z A B C M L K F 2_TB Physics M6.pdf 50 7/30/2015 3:08:34 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


46 5.   ff %fi*(&fi' - ("   fi 5.1   ff  $  () 2"  ffi!  *(&fi' - ("   fi   * &  "22$!    (" fi%fi  &) (" fi *     ' #  $ 1 *& 2& & * &  $  1- * "22$  *  -fi * fi#+ - fi ffl  #&   $  1 . *ff&- fiffl! (   *  -fi * fi#+ - fi $  1- $1 %fi*(&fi' - ("   fi,  *ff& 2 !     ff * ffl"  ) .    ff %fi*(&fi' - ("   fi   fi& ffl  "!$" & ! &  ("  fi  &* $ ! !  (" fi  & &) (" fiffi!  fifi . (#! & *  " & fi,  !   " fl . 1 2 1 1 QQ W Q Q fl    (5.14)   ff %fi*(&fi' - ("   fi *"! 2  ) fi "  & 1. $    ("   4 " ("  & fi  & &) (" fiffi!  fifi &)   *   ' 3 " *ff ff & "& +& %fi(" fi  & &) (" fiffi!  fifi fflfi#   * 2$&) (" *3  ! fi&5. - ffl ffl  "'  ffi! *(&fi' - ("   fi 2$/  "  &  ff %fi*(&fi' - fi   )  &)    !fl# /   " & 20%;   ff %fi*(&fi' - ' 2 /  ! #fl *0  35%. 5.2 $1 *ff  &   ff %fi*(&fi' - ("   fi 1824    "{   & &"-  & (1796-1832) #ff " :  &  ff  %fi*(&fi' - ("   fi*ff2  ffl  ) &)   ( & 121 ( )/ TT T  1 2 12 2 11 1 1 QQ TT T QT T fl    ffi  (5.15) 2  T1 fi& $ff fl  / ) %fi("  / fi !  T2 fi& $ff fl  / ) %fi / &) (" *3 . / 5.11 2_TB Physics M6.pdf 51 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


47 fl *fi"  &   ff %fi*(&fi' - ("   fififl  (ffl  $1- *" $) " : &   ff fifl(ffl  . '  /  ff fifl(ffl  %fi*( &fi' - ("   fi 2$  *  "/  *ff& &- fifflfi       ff %fi*(&fi' - ("   fi2$  /  %ffl fi#  *ff &  T1 2$ /  % ! $  fl 1 T2 2$ffl !&) .  ffl"3  & 4:*ffl ffl %fi*( )  &fi' -  $ fi   *()  &fi+ - &  2ffl! & &"ffl  fi   *ffi #40 $ &   50kg. fi  *%)   #$ &) /fifl $ff / 300C ! fi  )  &ff& fifi ' '  fifl $ff / 100C /" ("  & fi{'  *ff %fi0 ) $ &   & 6 35 10 J/kg ! !) %fi*(  &fi' - * & 100 kW. '(& #!  &  ff %fi'  $ fi   !  )   ff fifl(ffl  . "   & & /:     ff %fi'  $ fi   :)    3 6 1 . 100 10 3600 0,21 21% 50 35 10 W Pt Q m fl ffl        ff fifl(ffl  : 1 2 max 1 573 373 0,35 35% 573 T T T fl      ( 0  !  ) *{  $  1. '& 2 ) /   Q UW   *ff&- fifi   & ff! ff 2!  2  ! ) :  . 2 fi * ƒ & 0 ##4 - .  %. fi  2$ )  fifi  fi   ("  )    2*"!  / &#  $1- &("   fi.  2. *(&fi' - ("   fi  $ & ? 3. 'fi $ & 1 *(  &fi#$"%fi*( - &fi' - ("   fi?  4. 2 +  fi  (  Argon, Ar) 2 ! (kmol) ' ) !  4 2,24 10 cm3 3& / 0C ff 2ffl("     1,01.105 Pa 2$ ) !   1,4.104 cm3 3ff 2ffl & / ("   * & *.  '(& #! & : m  50kg t   1h 3600s 1 T   273 300 C = 573K 2 T   273 100 C = 373K 6 ffl  35 10 J/kg P 100kW 2_TB Physics M6.pdf 52 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


48 .  &2 2 +    ; %. fi$ff fl %fi ff $ / 1 +   . (. ff! ff 2%fi   & & . . ff! ("   fi  & &fifi .  5. + & 2!  ' ) 3 ff 2ffl & / ("     5 2 3.10 N/m ) !   8 ! ff  $1ffl 2$   fi%     ("    &) & , 3- fifi ! ) !   10 !  '(& #! & : .  & ffi! fifi . %. ! & ff! ff 2%fi   "/  2* & &fi*fi -  #ffl2$   fi #    !  (" fi  1000 J. 6. fifl(ffl  2!  ' ) ,   ) !   V1=1 ! ("   P1=1atm !" 0 3- - fifi ff 2ffl%"   fi  $ff fl / &)  !  3 & 2ff " & / & ) !   V2=2 . $1'   *ff  & * 2$ *3   ! *ff  &- fi* 2$("   $ fl 1!  2 *&- fi ffl"& &   ) !  &) & . fl  3  - fifi ff 2ffl%"   ("    &) & # 2ff " /& & V3=4 . 'ffl & *    ff"ff !$"   & P ! V !" 2 ) *    %fi 2%"   & " & % *  . 7. fifl$ff%fifi  / fi*%   $ *  %fi*(&fi' - ("   fi   & 600 Co *"! fi  ff&fifi ' *    fi$ff fl %fifi  / *$ 1- fi 260 Co . '(& #!  &  ff fifl(  ffl%fi*( &fi' - .  8. fifl$ff%fi / &) (" fi%fi*(  &fi' - ("   fi   & 520 Co , fi$ff fl %fi / &) (" fi   & 340 Co . 0 "   & &*(&fi' - ("   fi   & "ffi! & & *& 2 2*&fi- #  !   (" fi'   &) (" fi  107 J. (0"- *( & &fi' -   & "* &  *(&fi' - fi fl(ffl  ). 9. *(&fi' - fi   )   !)   14,8kW . 2ffl! & &"*ffl   ffl *ffi)   #40  & 8,1kg fifl $ff%fi4 / ) ("   & 200 Co *&fifi- $ff fl %fi4 / ) (" *3   !   & 108 Co . '(& #!  &  ff ffl"'  !   ff fifl(ffl  %fi*( &fi' - .   "/   &   0ff ffi("  & fi%fi0   &  & 3,6.107 J /kg. 2_TB Physics M6.pdf 53 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


49 II   ffi           flfl  ffi ffl ff ffi fi    !  " #3 ! $% &   ffi'ffi!&! ff     &  ! $  &flfl     ( ffffi !  )*& !   flfl   +! !   flfl   &flfl     & fl  fl ! ff ),  & flfl  #  6.    1.       1:  &- %ffi)fflff  +. $  %+"ffi  !     ffi  (ffl $/"  0ffi  / /0    # ffi&  ff & ffi/      $%, 1  2:  &   ffl ffi +. !   ffi   (ffl $/ " 0  &     "  /ffi   / $     &    &ffi&/     &   6.2. ffl- &   -   &- %ffi)fflff  +" ffi   &- %ffi)ff    &    #  ffl-  &- %ffi) ff &ffi&   fflffl +" ffi 2     /3 & ff !   #  fl 3ff   ffl  &   $  % &- %ffi)ff+  . $% +"ffi    $  flfl ( "' ! flfl (4 &  -  flfl 3 ( )ff &  flfl   (4 &- %ffi)ff#  !ffi (Thales) -!ffi  ! -3 /3   *    2flfl5/& # "   &4 5)     !   $  & 2,  (amber) &4  ff&fi5)   &4' ff" ' &$ ff    0 affi.&  b '&ffl   ffi"  ffi    ! &4(  2,$ffi     !  & & '   fi5)     -   6 ( /0   4$  & 2,  !  "   $ ! )ff fi  & 2,  # ffl   - 2  flfl   &  , ff  ffl  ' # ) ,    ! ff -%ffi)fffflffi +. -%ffi)ff)ffffi   6.1 ffi/ 7#8  & ! $  &flfl   ( 2_TB Physics M6.pdf 54 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


50 ff (William Gilbert)  2     &  ,2 !  / &  ffl( ffi &-3      & 2,      ff  (Gilbert)   9     (electricity) 3& ff )3  "&  & 2,   2ffi*   !  )*& ! )  ,   /ffi ff ) &3  2flfl (  (! 5) 9 !  )*&   6 ff *&!ff (Benjamin Franklin)    , ffffi 3flfl  ( &     flfl      ! flfl (   ( &- %ffi)  ff fl  fl (! # +  !&ffi  &$$   flfl   3 (   ff /   ! flfl 3 ( )ff &    #  ! , flfl "& ( &    2 -    ! +.  2 -  !#  2.    flffi   2.1#  ffifflff fi  &   ffl ffi  +" ffi    $  &     flfl   () &3 ff + " ffi  $  % &- %ffi )fffflffi  +.  , $  &- %ffi) ff  flfl   () & 3 ff + .#  2.2#  ffiffl   .--     flfl - -  (   ffl (  flfl $     &flfl   ( ,3   9 ffl (  flfl)ffflfl 3 (   ff  flfl   "& ( .--      - # + flfl   ( )ff - ! $% &) -  ff  -  !ff  ffi .  # 2.3#  ffiffl    ffl (  flfl  ( 0   ffl (  flfl ffl  flfl (    fflffi    flfl   () &3 ff flfl   (4 ffl(  & 6.5#  6.3 &    +"ffi   6.2  6* ff &!  ff a1706-1790b  6.4 2_TB Physics M6.pdf 55 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


51  6.5 (1)    ffl ( A  flfl   ( 0  ffl ( BC  flfl flfl   ( ffl ( A flfl (!4 BC $4  ffi B  4 # (2) $ffi C flfl    ( )  , ffi C !& ff flfl (!4ff  ( &   flfl  # ( (3) fflffi/ flfl ff  (!4ffi B   /-  BC#  6.5" (1)    ffl ( A  flfl (!0  ffl ( BC  flfl fl fl (! ffl ( A flfl  4 (  BC $4  ffi B  4 # (2) $ ffi C flfl (! )  , ffi C !& flfl ff   4 ( ff  ( &   flfl (!# (3) fflffi/ flfl ff   4 ( ffi B   /-  BC# ! "#ffiffl$    % ffl  ffi  fi  /   A  flfl (!  $  flfl   (! ffi 4  fi /  C &   6.6 ! /fi  /   B ! C  5/   fi /  A / &ffi 4  # flfl   ( ffi   /4fi"&fi /   &ffi& )  flfl () &3 ff #  ff - ff  ffi  $%/ ! ,  ,-)&)  , ffi/# ff  6.5 )flfl ff  ( /ffi  B C B C B C B C C B : C  " A A A A (1) (2) (3) (1) (2) (3)  ++ + + - - - - - A B C " + + + +- - - - A - + + - - B C + + + + - - - - + + - - B C  6.6 ffi "&flfl   (4fifi /   2_TB Physics M6.pdf 56 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


52 3. &'#($    &4flfl -( -  (  3   & ff 4 - "& ffl ( flfl ( $% , ! -flfl 3 (  2 ff ff    !  5)*ffi (Electros-cope). !5)*ffi $%/3  ff        ffl&ffi&3 ff  ff  & //# 3.1 &&)*  "#ffiffl$  !5)*ffi fi  /  -   /fi  /  ffi 5  /0 "   / ffi  / !0ffi  -/  &   $  % $ &   &   6.7# 4    ffl (flfl ( $% ,    ffl  & (  fi /   # ffl  ffl (  $  % /fi / ffi &    ffl ( flfl   (# ffl)&4    ffl ( flfl   3 (  2 ff ff )ffflfl 3 ( fffi' &   ffifi / !     ffl ( " # ffl  ffl( fi /  ffi &    ffl (flfl () &3 ff  fi /  # ffl      ffl ( /fi / ffi &    ffl (fl fl 3 (   ff fi /  #  3.2 &&)*  +#), !5)*ffi +  5!$ -   /5ffl   ffi  65ffl  ffi  &5!$ ffi  4ffi ff&"& &5!$       $% fi /   /5!$  ffi  !  ( + !  &0 -  ffi& +   ffi $("   $%   & 6.8# 42  flfl   +"& +  !  $( "  $#     ffl (  flfl  ( fi / $  %4 ffi ff&"& &5!  $  ffi& +!  #  ffl)&  3  "&flfl ff  (,ffi  /)flfl ff  (   ffi!  5)*ffi    !  $   +  !#     ,  ffl (   flfl (  , 3  ff fi / ffl  $  +!  $  %/    ffi  &  -  flfl 3 (   ff  flfl   (  4  ! & "  ffl   +!  $" (   ffi &   ffl (flfl 3 ( )ff &   flfl   (  4 +!   !    &   6.8#  6.7 !5)*ffi fi /  2_TB Physics M6.pdf 57 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


53 4. ffi  ! %  %ffi  !#  ! 4.1 ffi   ! ffl( ,flfl   ffl ( /$flfl    (   -ffi  ) $  %    "& ffl 5/& ( /3   9 & & & ff  ! ,  ffi& ffi   $  % ! ! !/      ffl ( A  flfl (!  -   ffl ( B a5!$ b flfl  flfl (!  /  fi    ffl ( B # ffl     ffl ( B $flfl    (!     ffl /5ffi ffi+,  !    $ ffl( B  flfl# 4.2 ffi  !#  ! ffl(, ,flfl    ,$flfl    (   -3 9 4&  $ &  ,,!ffffi( "ffi  .   ,      & ;  ffi(# 1%  ffl ( A  flfl (!  -   ffl ( B a +4&b flfl ( !  ffl ( A ffl /5ffi ffl( B # ffl     ffl ( B flfl ( !  , ffiffl/5ffi   ffi+,  /    ffl ( B   ,$flfl    (   -#  " &  6. 8  6.9        fl      ffi      ffifflfffl fi fi ! "  fl   A B B B B 2_TB Physics M6.pdf 58 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


54 5.  ffl  -ffi   )  flfl ff  $(   ffl ( ,fl fl - ffl ()  $%5 & flfl    (  /4)fi    ffl  (  #    /flfl (4fi"& ffl ( ,fl fl  , ffi .ffi . ,  ffl ( ,fl fl  fiffi  $% $%-/ $%  flfl    /4 ( $%/ &   6.11# 6.  ffl   ,ffi # &$ '   !        /  ffi& $  ffl( 3 & ff  !   ! ) flfl ff  ("' fl fl (! "&-! )    4! !  (  , 2  "' !  /0 ffl  &" fifi ff '& flfl  "& (  /  fl fl (!  ff&fi  ! ff   $fi5!flfl    2 (  $%/"# ffi '  flfl (! "& /   & "   ,flfl   ( ff&fi 5!/  &  &' ! $  &flfl   "& (  ! fi     ff $ flfl   ( , $% &$%/    !  &ffi fi  ff  9   +# fflflfl  (    $      9   &,.' $  6.12. " flfl  (    + /  ffi  &   $ /    6.10 #ffl  fi         "$ %     ffiffl " fi       ffifflff! fi ! "  :  fffl    #& ffl"  ffl  A B B B B  6.11  /flfl ( flfl (! &ff ffiflfl flfl (   6.12  /flfl (4  2_TB Physics M6.pdf 59 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


55 " '    PVC  6.15  ( #!#ffi ! "       $,  ffi&  & "'   9   ff # ffi  2  ff & ' 3 $+     ff/-ffl.  flfl  "& ffl ( flfl ( 4  -/ $%"& -  ffl  flfl   ,3 )ff)&ffi  -&fl +    6.13# 7.   ffl&   ffiffl  & &*  ffl-  ( /5)   $ , %/ )! 5)  ff  ffi 3 % &2/-  ff /5-*)  &   )* & !  !)*&        ff %ffi# !)*&  ffi  /   ffi   ff %ffi$%/      2 !&&  2/ ffi$  %(5)fi'&-$5)fi  '&# &  "  - )ff5)"& ffl   (  , 5-*)& ! !)*&     $  5)  "& ffl (  flfl#   ffl (ffl ) ( ffl (  flfl    (  , 5-*)&$ %/" '   !)*& ! ffl  ( flfl   (! $ , !)*&2  "$ ' %/ 5-*)  &#    ffl ffi&3 ( ffl ff   2 !&&       ffl(   $!  )*&$ %( 5)"& ffl (fi'&-4  ff&5)  ffl (fi' & ffl(  ffiffi/!)*& fl fl   ( ! ffl(   !)*& flfl   (! # )*%+#ffl  fi    #*)%+#ffl     #ffl#*)%+#ffl  fi     6.14 ff  %/ ffi$%, fl ffi/fl ffi/ff  6.13 ffi-&fl + 2_TB Physics M6.pdf 60 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


56    , -%ffi)fflff  +" ffi  !  )*&+   $  %(-4  ff& , -%ffi )ff +" ffi ffi ffi/!  )*& & ' flfl      (  6.15#    , -%ffi) ff  flfl (! " 6(  / flfl   (! 4 , -%ffi)ff /!)*&6   ( /- &$  % & ffi &+$  6(/ffi     , -%ffi)ff -flfl (  # ffi  6   ( / &ffl '  "   $ffi  , -%ffi)ff  6.15"# ffffi   &ffi     "&!)*& 2   ff/!ffi flfl  "& ffl( ! -      ffffi !  )*&#  )!& 6.1 ffi &flfl "&! ( )*& 5-*)  & ! )* &  2 ffi ( / !   flfl   (  ffi 5-*)& P 19 1,6 10 C  27 1,673 10 kg  )* & n 0 27 1,675 10 kg  !)*& e 19 1,6 10 C   31 9,11 10 kg  8. &ff    &"-   )  5)"& ff ffl (42  flfl /      , 5-* ) & ! !)*&    " !  )*&    5)fi'&-$ 5)fi' & $5)   ffiffi/!)*&/-  5)  flfl   ( ! 5)  !)*&/-  5) flfl (! #  &    , ffl  ( ffl(   $ ffl(flfl ffi ( ff/  2 !  &&        &  ffl(  ffl  /5   $  !  )*& "&5),!ff  (ffl  $2 !  &&  "&!)*&ffi &" '  ffi$%( -ffffi $% 5)"& ffl (fi'&-ffi5)"&    ffl (fi' & $ 5)"& ffl (  !)*&2  " ' flfl   (!  ffi  5)"& ffl ( ffi/ !)*&-   flfl    # ffi (   ffi $%( 9 $ flfl   (  , ffi  &flfl   ("'.  -2& /  /flfl    ( ffl (fi' & -$  ffl (fi'&  # 2_TB Physics M6.pdf 61 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


57 2  ff! + 2  3 "&flfl ff  ( &."&!   / &       ffi .     &ff   #  ! $  % &/ , 1.  Thales +&! &flfl 1 ( 2. flfl ( 3 1 3 ff   ff 1 3. flfl (!  a<b    &ffi  9 # flfl   ( a=b   #  "# flfl (!  a<b   #  # flfl   ( a=b ! flfl (!  a<b# &# flfl   ( $%!  "'ffi 2 !  #  4. , -%ffi)ffffl   "ffi   ffi &flfl 3 ( 1 ff 5. flfl 3 (   ff ! flfl   3 ( )ff &    4    $/ & "'1 6. )ff flfl $(  ffl(  ff 1 ff  1 7.  & ff/-  fl + fl  $% ! fl&#  8.  & ff/flfl   ( / ffffi !  )*&#  9.  &!      ffiflfl   (# 10. -%ffi) + ff  2 "  ffi  flfl  (  ! ! 4  ffl ( ,    , ffi &flfl ,   ffl (   1  11. flfl ,  ! , ,flfl)&  1  12. 5)"&  3 ( ff flfl   -( 3 1 ff 13.  !&     flfl  ffi fflff 5/ ffl ( 4 3 ff  A, B, C, D ffl +" ffi  !   , ffi &# -     A '&  B, B '&   C ! C /  D. ffl  3 flfl ff  "& ( ffl ( & 4 - 1 # A   B, C ) & D# "# A   C, B   D# 2_TB Physics M6.pdf 62 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


58 # A ) &  B, B   D. &# A ) &  C, B ) &  D# 14. ffl( A, B ! C flfl () &3 ff         &3& ff  !   &    !&  1 ! 2# $  ffl ( B )ff flfl (! # ffl   ffl ( A ! C ) ffflfl 3 ( 1 ff ffl( $$+      &!  $ &flfl     ! (  !  flfl# A B flfl (! a<b C ffl( $$+      &!  $ &flfl     ! (  !  flfl# A B flfl (! a<b C !& 1 !& 2 2_TB Physics M6.pdf 63 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


59 7 #,    1.  ffi            fl ffi   flfl   ffl 7.1. fffiffi  !"#ff$ffl %& !'%(  !  fiffi    !"# )  ff $ ffl *fl+  )  ffifl  flfi   fl   , $ - fifi   #  fi fl * fl  +   fl  ffiffi.   !"#flfi(  $*flfi   $/fl# fi$*flfl  ffiffi   fi   ,  F  (Charles Coulomb)    F GH   F flffi fflFGffffH fi  ffi ffl!    GH F"H# #    ,      ffi           ,     ffi           ,     ,      1 2 q q F k r  (7.1) 9 0 1 9 10 4 k πε    2 2 N.m / C i / $ ffl 7.2 Charles Coulomb (1736-1806) ffl 7.1       , , (  2_TB Physics M6.pdf 64 7/30/2015 3:08:35 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


60 12 2 2 0 8,85 10 C /N.m ε    fiffi ) 0 1   $fl, ffl    0 1 4 F πε  1 2 q q r (7.2) % ffi   !fl2 3   ) fi()        )      fl ffl , ffl   )fi() fi   " ffl ###fl'  ffi  ffiffi   fi1   #      fl  fi  2 "  ) #  (        1   - # fl ffl     1 "#     ffl     ffl 7.3.  1   1 q  2 q )( *fi   1μC fi1   #    fl  2m ,  1ffi            ffi , fi # ) ffl0 1 2 q q   1μC 4 r  2m 1ffi0 F  ?  /$1ffl0 1 2 q q F k r   1 2 q q ;  r $ffl, 966 9 10 1 10 1 10 3 2, 25 10 N (2) F          afi  flbffl 2. #    ,   fl   , $ 3 ffi  ) /  fl ffl i           ffl * ! ,"  ffl  )0 0 1 4 F πε ε  1 2 q q r k ε  1 2 q q r (7.3) ε 1    (ffi ffi"   2  + + 1 q  1μC 2 q  1μC r  2m F F + + 1 q 2 q F1 F2 r + - 1 q 2 q F1 F2 r ,  1   - #  (,  1   "#     ffl 7.3 ffl "###fl 2_TB Physics M6.pdf 65 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


61 ""  7.1  1  (ffi ffi  * /  1' ffi 1    ε 1' ffi 1    ε fflfl 1 ffi /3 4 ffi 1,0006 ()1) 12,8  / 80  2-8  /  2,1  4-10 5#i fifl 2    4  2 !- 2 ffi  )  '        1,5m $&  /  /( *$fl +flffl 1   ' (ffi fi /   80, ff   (ffi   !- " ffi   ) fi  $. $ffl  $  "    !-fi   2N , fi # ) ffl0 ε  80 4 F  2N 4 r 1,5m 1ffi0 1 2 q   q ?  /$1ffl 1 2 k q q F ε r  2 Fr q k ε    F r ; ;ε  k $ffl, 2 4 9 (2)(1, 5) (80) 2 10 C 200μC 9 10 q         ffi% % ffi/fi 1.   fi  fiffi$(ffi  ' fi  ffl  3ffi (-  , ffl 2. *flffi *  fl   )   2C i fiffi '  (ffi  ffl    6ffl fl  1m ,  1ffi( *   (ffi      ffi . 3. $    9 3 10 C    9 5 10 C    6ffl fl  20cm ,  1ffi  ( *  (ffi      ffi . 2_TB Physics M6.pdf 66 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


62 4.   1ffi fl3fl$ffi+"(ffi ffl +5 1 # fiffifl  '         + 5"    fiffifi"5 fi    11 5,3 10 m   , / $  + 5"    )   fi   19 1,6 10 C     fiffifi"5   )  fi    19 1,6 10 C    , 5. & fi ffl ffi *  fl   )  fi    ' 6,25 nC.   fl     61,7 cm,  1ffi( * fl  (ffi  ffl    ffi , 6. & fi ffl   )   +3,37 μC  -8,21μC,      ffl   & fi ffl   ffi    0,0626 N,     # fl        &  fi ffl   ffi , 7.   ffl 7.4 6ffl ) A, B  C )  1 q  3μC i 2 q 1μC  3 q  4μC "/ ,  fl AB = 3m  BC=3m.   1ffi( *  #  (ffi  )  $     )  B. 8.   (ffi ffi     ) ) fi   9 3 10 C   '  )  flfl     5cm 0  , 16 1,8 10 N   i (, 15 3,6 10 N   , 6 1,6 10 N  i , 5 3,2 10 N  9.   fl  #          ff  (ffi ffi fiffifi  "5 ) fi   * / (ffi fiffifi  "5 -$  * fi,  / / $   2 g  9,8m/s , 19 e 1,6 10 C    4 -31 9,1 10 kg me   , 10. ffi+"+5 1 ) ffifl+ 5"   ) ) 27 1,67 10 kg       19 1,6 10 C   , fiffifi"5  ) ) 31 9,11 10 kg       fi    + 5" i fl      fiffifi  "5  + 5"     11 5,3 10 m   ,   1ffi0 ,          , (,      ffl  ,  + 1 q  3μm 2 q 1μm 3m + 3 q  4μm 3m ffl 7.4 A B C  2_TB Physics M6.pdf 67 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


63 11. )ffi fi   4nC   4nC   )  A  B "/  fl fl     4cm $ffi,   $  fi     q = +2nC $  / )  " / )0 , q   O fi  (ffi # AB. (, q   M )MA= MB = AB. , q   P )PA  AB  PA = 3cm. 12. GffffH fi -8 Q = 20 10 C 1  ffi -8 Q = 5 10 C 2  GH%Ffi  A ffi B fflF  10 cm& 1). fi Ffflflffi IF fl GffffH fi q = 4.108 C fl'Ffl GH FJ" Ffl"H# &  q GHfi  O F A ffi B& $&  q GHfi (fl"PA= PB = AB = 10cm 2) fi q GHFI) flffi IFfl fi*Ffi F +& 13. )ffi fi   +" "   ox ,   QA  +18 nC  $  Oi   QB  27 nC  $ 60 cm, ff" ffi        QC $$"  ox fi3 'ffi$  - ,  14. KF, + ffifl 2 *fl ) m fi  i     q fi     " *  flff   ( ' flfi  &ffiflfl   fi   (  -,    * fl    ffi fl  ffl ffiffi +fl θ ) ffifl  !fl a  7 x / 2 b  x fl        * fl    ffi ,   1ffi  (ffi  x , 15. KF, + ffifl 2 *fl  ) m fi   ff   ($ ' - fl fi &ffiflflfi   i     8 q 10 C  fi  , fl  ffi fl  ffl       6ffl$*fl   ffifl2  ffi  fi$3   flffiffi   fi fl r  3cm ,  1ffi   ffi    fi1  ffi (3 '  -    " , $  ffl m  0,1g  2 g 10m/s , 2_TB Physics M6.pdf 68 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


64 8.  1.  H?B=OQCB@mBCk ? V?I 9BmV9PR7G6I@^Foh9 Q<8J>9Q]?B Z[S PR9i 6 G9@^`?]?BP@AL EJ>FDOP ]MIBQ^D9PR7G6I@@L?@ H?B<XIB<ekQCNJ 8 P^D > 9]?BP@AL EJ>FDOP CDNeFQI R Bcm 9 V9PR7G 6I@@@< L? 8J>9Q]?B\ DN@@i m L? V9PR7G6I@OO<6< ? F]L ?BP@AL EJ896CF<8 XIB<ekQCNJ 8 P^D > i ^@P 9 R7G6I@CBQ ZBI@@ 6O L? 8? @IBg 9  1.1.    6D L?@XIB<ekQ]?BP@AL ce< E @6D 9 L?@ = 9BQKJ 89 ^`DNeFQJ ? GFYOQJQ]>9 ?BcmV9PR7G6I@ O?O<kOP]?BP@AL \ 6D E L? @XIB<ekQYOQJ>9Q ]?B<8JGF`OOCABCI 8? FHL EJ89 <8]?BP@AL PIC E kVP 8.1C e7N <8JGF`6Y 8? >? BDV9I LFHEJ89 <8]?BP@AL E7 >PckVP 8.1Y\ H?BC7NR @8]?BP@AL EZ[BUCIBo9 h9Qj=\ JQ]>9 ?Bce<@6M 9 L@JGFFWICPJL GFYOQ XIB<ekQDQ7I<J L 89 CNJP^D > 9]?BP@AL EJ89 @ RB<BJFDOP6M > L@]MFQk L9 VP 8.2\ 1.2  fl   1)        J>9Q]?BJ 89 6CFABC] 8 ?BP@AL E= 9BQ`N@FCG @JL 896ML@e_@PBQJ 9 89IBQ^ZYNoB@ ? C L@\ AN<YNoBFX 8 QX> Bce7Nc< 9 8JGFFWIC@CL P6D L L?@XIB<ekQ]?Bce7N 6ML@6D L? @`YN S9 oB@C@ F L Qk L9 VP 8.3\ C\ ]?BP@AL E= 9BQC@6JL >9 BC L@ Y\ ]?BP@AL EXSC L@ X\ ]?BP@AL E= 9BQC@PL R96J>9 BC L@ C\ ]?BP@AL PIC E Y ]?BP@AL E7 >P kVP 8.1 6DL?@XIB<ekQJQ]>9 ?B kVP 8.2 DNeFQ6DL?@XIB<ekQYOQJQ]>9 ?B 2_TB Physics M6.pdf 69 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


65 2)   fl ffi fflfffflfi   JGF6D L?@XIB<ekQ]?BAN<8JGF`OOC=B< 8? 7IQ6D L? @7FDNp L 8YOQIQ<> @cjFU > BU^@IQ<> @P> R9 <86DL?@ XIB<ekQ]?B FQk L9 VP 8.4\ 3)   fl ffi !ffffl JGF6D L?@XIB<ekQ]?BAN<8JGF`OOCcZ 8? [Sc6Y >? BDV9 I LFH=B<7IQ6D E L? @7FDNp L 8YOQoIU< 9 @i m > V9 BU^@ o9IU<@P> R9 <86D L?@XIB<ekQ]?B\ FQ@ L9 @i J L? Q]>9 ?B BU^@IFHL EJ896ML@oIU< 9 @<> 8X 9B6ML@D@ F V Qk L9 VP 8.5 7 LCDN@NYOQ6D L?@XIB<ekQ]?B<8F L9Q@8?g l JGF6D L? @XIB<ekQ]?B`OOCABC] 8? ?BPL@ AEPIC 6Y >? BDV9]?BP@AL E7 >P\ l PR7G6I@J89 <86D L?@XIB<ekQ]?BoBeo@Z? [BU J>9Q]?BCR<8X 9BZ[BU\ l PR7G6I@J89 <86D L?@XIB<ekQ]?BoBeo@o? OUcJ ? Q]>9 ?BCR<8X 9BoOU\ ? l JQ]>9 ?BmV9PR7G6I@oB@O ? CYOQIFHL EP L@AE]?B 6D L? @XIB<ekQAN<8JGF=QDBC L? C LPoBI? FHL EP L@AE]?BDN6p8\ 2.   fl XIB<6Y L? <YOQJQ]>9 ?BmV9AEF^Foh9 Q e<@<9 8X 9B6J >9 BCPXIB<ekQCNJ L P=> R9 ]?BP@AL E J>FDOPmV9AEF@@\ L? DVFXGF]79g F E q    (8.1) kVP 8.3 6DL?@XIB<ekQYOQJQ]>9 ?BC7N@ R 8I LFHE P L@AE]?B6ML@e_@PBQYNoB@C 9 L@ kVP 8.4 6DL?@XIB<ekQYOQJ>9Q ]?B^@IFHL EP L@AE]?B6ML@kVP I >Q<@IBQ` > O@C ? L@ ]?BP@AL PIC ] E ?BP@AL E7 >P kVP 8.5 I LFHEP L@AE]?B 6ML@kPoV IU< 9 >@ 2_TB Physics M6.pdf 70 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


66 ^@@8? E XIB<6Y L? <YOQJQ]>9 ?BcZIo> IU6M 9 L@@I6= G @=G R9 CV7 >Q a N/Cb\ F XIB<ekQCNJPcZ > Io> IU6M 9 L@@I6= G @ a 8 N b\ q ]?BP@AL EJ>FDOP ZIo> IU6M 9 L@CV7 >Q aC b\ H?B q>0 F  k 9I<JGFCLP E  H?B q <0 F  M8?@JGFCLP E  ffiffl  1: 6<O6O S9 >BIFHL EJ89 <8]?BP@AL E 6 2 10 C  ]MIBQ]I?J89 AEF^Foh9QcMBCFI> B<9 8 XIB<ekQYNoBF 6 8 10 N CNJP^D > 9]?BP@AL E@8?c^@JGFABC`BU]MZB ? YIB\ AQ`OCZBXIB<6Y >9 L? <YOQJQ]>9 ?B^@AF@E @\ L? ff fi DG9QJ89 kV?g 6 q 2 10 C  d 6 F 8 10 N  `OCZBg E  ? @ RB^`?DVFg F E q   eJ@X9B q e7N F ^D9DVF]F? 6 6 8 10 4N/C 2 10 E      a q i JGFYOQ E  C >QC@YL B<XIB<ekQ ? F  b 2.1   fl     ! Q ffl" #$  r D ><<FIBQ6< E F]L ?BP@AL EJ>FDOPq ^D9AEF A ^@JQ]>9 ?BP@AL E Q F?IU]7UNZBQ9 r F L9QkVP 8.6. @ RB^`?DVFg F E q  6`QI G9 9B 2 Qq F k r  AN]F? 2 Q E k r   Z[S 9 2 9 10 Q E r  (8.2) JGFYOQXIB<6Y L? <JQ]>9 ?BJ 89 6CFABC6< 8 F]L ?BP@AL E Q ^Foh9 Q<8JGF`6Y 8? >?B ZB<@ H L ?B Q 6ML@]?BP@AL E7 >P e7N <8JGF`OOC H 8? B]? ?BP@AL E Q 6ML@XBPIC\ 9 "#"    fl%#   ! LM Nr  OP Q OP MLPLM M NQM flN Pffi flfflMMfffi  M  !flP"MOPMfiff LM ( A) fl"M    Q q E  F  r A kVP 8.6 2_TB Physics M6.pdf 71 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


67 !flP"MOPMfl#fflLM  $ B% &M' B 2 Q E k r  (8.3) !flP"MOPfiLM $  C% &M' 2 ( ) C Q E k r d   (8.4) 2.3 % %%ff   fl 1) 6<O6O S9 >B]?BP@AL E q <BIBQ]I^@P ? R7G6I@JQ]>9 ?BP@AL E Q \ 2) 6<O6O S9 >B]?BP@AL E q <BIBQ]I^@P ? R7G6I@JQ]>9 ?BP@AL E Q \ l JGFYOQJQ]>9 ?Bce<@J9 GFYOQXIB<ekQ]?BJ 89 CNJP^D > 9]?BP@AL E q J89 @ RB <BJF7OQm > V9PR7G6I@J89 = L?QGAB7N@B\ l JGFYOQXIB<ekQ7NZIBQ] 9 ?BP@AL cYE @mh? V9C LP`N@FYOQ] G ?BP@AL e=E 7NX 9 V9 a]?BP@AL `N@ E F=G BQC 9 @ANF L FCV @ce7Nc`N@ L FFWIC G @ANU L V?C L@b\ r A B Q O d kVP 8.7 C   Q q E  F  kVP 8.8    Q E  F  q ]?BP@AL E Q e7N q ]?BP@AL E Q e7N q   Q q E  F  kVP 8.9    Q q E  F  ]?BP@AL E Q e7N q ]?BP@AL E Q e7N q 2_TB Physics M6.pdf 72 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


68 l ^@C7N@ R 8<8]?BP@AL EZ[BU6<F^@P L R7G6I@^Foh9 Qi XIB<6Y L? <YOQJQ]>9 ?B7I< 6J >9 BCP_L @PIC6I > LC6=YOQXIB<6Y 8 L? <JQ]>9 ?Be=7N6< 9 F =B<D L F7V <@E9 8?g N 1 2 ... N i i EEE E E           (8.5) ffiffl  2: ]?BP@AL E Q <8YNoBF 1μC IBQm^@OBCBF\ A V9 Q`OCZBYNoBF >9 e7NcJGFYOQXIB<6Y L? <JQ]>9 ?BmV9AEFJ89 Z9BQABC Q ]7UN 1m ^@C7N@ R 8 Q 6ML@]?BP@AL PICce7N E Q 6ML@]?BP@AL E7 >P\ ff fi DG9QJ89 kV?g Q 1μC d r 1m `OCZBg E  ? @ RB^`?DVFg 2 Q E k r  6 9 3 2 1 10 9 10 9 10 N/C (1) E      YNoBFYOQJQ]>9 ?BP@AL E Q <8X 9B6J >9 BCLP 3 9 10 N/C JLQ]?BP@AL PIC E e7Nc7P\ > l JQ]>9 ?BAN<8JGFJBQFWIXSC L@CPJL GFXIB<ekQJ 89 CNJP^D > 9]?BP@AL E q J89 @ RB<BJFDOP\ > 3. !! &     M !flP"MOP &M L(Mff"MOP fl)Mfl "MOP P &M 2 "M(PO#!flP"MOPfl"M 0  M "MOP"Mfl  2 fl OP Q & q $Q *q % fl 2 Q  MP' + ,P Q & q &MOP)  ffi ffQ P  M  C M -M fl OPfl)MM PE E A B    M. 8.10 + ,P Q & q &MOPM)   ffQ P  M  C ff fl P)fflM"M/M fl OPP & M PflfflPOP L PM M . 8.11 r 1m r 1m E E Q Q 2_TB Physics M6.pdf 73 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


69 $ffl% 3 fl OP,fflOP& x ' 3 Cμ MM x  0 & 5 Cμ MM x  40cm ,M POP q OPMff 0flfifflMff-P&.   "ff Mfl"M 1 ff fi ABC6QO@]YP S9 F67C6k > >BDNeFQ]I?F L9QkPcAN= V OQIBQ ? q ]I=B<eC@ ? x \ XIB<ekQDQ7I<CNJ L P^D > 9q 6J >9 BD@AN]F V ?g F3 5  F 6 6 2 2 2 2 2 (3 10 ) (5 10 ) (0, 4 ) 5 3(0, 4 ) 1,2 0,24 0 1,2 1,44 0,96 0,6 0,775m 2 q q k k d d d d d d d            ]FDOQX ? 9B 1,375m e7N  0,175m\ DN@@i X L? BJ9 89 6pBND<e< > 9@ d 1,375m \ & ff'' ffl()* 1. !flP"MOP&M-1 2. M & " !flP"MOP"Mfl OP" q & q IBQ]I^@P ? R7G6I@JQ]>9 ?BP@AL E Q e7N Q \ 3. MflP   MRfl P!&.OP 4. fl OP 1 Q  4 Cμ & 2 Q  2 Cμ M   Q  M. 8.122 flfflMO  -M AB = 2 m & BC = 3 m M)- L 0& 0"  "MOP"M B kVP 8.10\ kVP 8.11. Q q Q q A B A B EB  EB  EA  EA  C C F3 F5 q y x d 40cm 3 Cμ 5 Cμ 2_TB Physics M6.pdf 74 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


70 5. DOQ6<F]L ?BP@AL E 1 Q  2 Cμ e7N 2 Q  2 Cμ IBQmDOQ V9 AEF A e7N B Z9BQ CL@2cm \ AQX >9 GF]7XIB<6Y 9 L? <YOQ J>9Q ]?BJ 89 6CFJ8 89 AEFOmV96XQCBQ G9 AB\ 6. DOQ6<F]L ?BP@AL E 1 Q  4 Cμ e7N 2 Q  4 Cμ IBQmV9 DOQAEF A e7N B Z9BQCL@ 4cm \ AQX >9 F]7 G XIB< 9 6Y L? <YOQJQ]>9 ?BJ 89 6CFJ8 89 AEF P mV9Z9BQABC A ]7UN 3cm jFUHSI 9B AP AB mV96<LF A \ 7. A >9QeC67C=B<Y ? R?<V@J 89 ^Z^@=B=N7BQce7 ? I=? <^D S9 9Z?OQZIBQ^Z 9 ?X >PHI@? 7F ]?BP@AL E Q aC b ]?BP@AL EJ>F DOP q aC b XIB<ekQ F a N b J>9Q]?B E a N/Cb ]7UNZBQ9 d amb 1 4 4 10 C 6 1 10 C 0, 2N d 2 4 4 10 C 6 2 10 C 5 2 10 N/C d 3 4 8 10 C 6 1 10 C 0, 4N d 4 4 8 10 C 6 2 10 C 5 4 10 N/C d 5 4 8 10 C 0,6N d 6 4 8 10 C 6 1 10 C 5 1 10 N/C 2d 7 4 8 10 C 6 2 10 C 2d 8 4 8 10 C 0,1N 2d 9 4 4 10 C 5 8 10 N/C 0,5d 10 4 4 10 C 0,5d 8. 6O67LC=nQC> B7R Q6XL O@J S9 89 F?IUXIB<]I 4×106 m/s _9B@6Y >?B^@JQ]>9 ?BDN6p8cJ89 <8 XIB<6Y L? <6J >9 BCLP 910 V/m ^@JGFJBQFWICP6D L L? @XIB<ekQJQe< >9 6Z9 [LC\ AQX >9 F]7 G 9 O LF=B67 L9Qce7Nc]7UNJBQ6F@YOQ6O67 8 LC=nQ^@` > IQ]7UNCB@6X 9 O@J S9 89 __O@9 YOQ<@q k L V?I 9B6O67LC=nQ<> <I@DB@6J 8 >9 B 31 9,1 10 kg  e7N <8]?BP@AL E 19 q 1,6 10 C   \ 9. j7ZNoIU< 9 @o> h9 Q<87 LFDNp84cm <8]?BP@AL PICc6 E  S9 O6XO@U S9 BU6< ? F]L ?B P L@AE q=10 – 9C ABCONDQ]Y<BJ > 89 AEF M Z9BQABCoBo? IUC 9 >< 20cmi =OQ]F ? ?  Q2  B A C Q1 3 m 2 m kVP 8.12 2_TB Physics M6.pdf 75 7/30/2015 3:08:36 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


71 _N7GFekQQB@OOC 5×10 -7J\ AQX >9 F]7 G 7NF 9 P]L ?BJ 89 6CFABC] 8 ?BP@AL YOQ E o9IUC<m> V9o?BoIUC 9 >< 10. ^ZDB<6< ? LF A,B,C IBQm^@D V9 @UBCBFcMNCOPC V @6M L L@kPDB<eADBCi DBCm V V9 AO< A 6`G9 Q AB= 3 cm, AC = 4cm\ IBQ]?BP@AL E 1 q e7N 2 q J89 AEF A e7N B kV?I 9B 9 1 q C 3,6 10  6ILC6=8J>9Q]?BDQ7I<J L 89 AEF C <8JGFYNoB@CLP AB A >9Q C RB@FX> BYOQ 9 2 q e7NcXIB<6Y L? <YOQJQ]>9 9 ?BDQ7I<@ L @ q L? 2_TB Physics M6.pdf 76 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


72   9. !#   ! ffi! !  #   1. !#   !#   ! &  & "   "fi  ffl  "!$" &   & & fflfi   *(&fi - *  #   ' ' fi fl #% (  ff ) #$ fi ' fl +&  *  #   ' fl  W V q  (9.1) C99 SD V 23=TUVWWD5 7SXYZ[8ZA\]T9@Z9 (V ). W 1_``59VWWD5 7SXYZ[8ZA\]T9a<9 (J ). q VWWD5UT94bcY=;?U 7SXYZ[8ZA\]T96<2Y` (C ). 2. ffi! !  #   dY92YU23=TUVWWD54564b= A $ B * & &    *ff&- fi*(&fi - #   ' "  fl  fi'  A #$ B . C9UB2e\Z9cS87ScY8`VWWD5 E & / 9.2. \7 f8 ?7SVWWD5 UT94b q \g f8 ?9AD5A1h84b= A V]X54b= B . ;31=`Z85 c S8 4b= A 7Si32T``59VWWD5;<`6Z854b= B (W W A B  ). dY92YU23=TUVWWD51h84b= A X5 B "  V V A B  Xjf =DZA U , XYZ[8ZAE?`dY92YU23=TUVWWD56Bgf J/C \>e8` \? SD 9Z85 @Z9 (V ); 1V = 1J/C \9 f8 ?`456Z851_``59\]T9g85;36512. ;39 TD 9, dY92YU23 =TUVWWD56B\]T9;36512, 7T94 l8 `;575=7Sg85\]T9UZ6 Xjf \]T9g852YU6BV=D. 1_``59 W \i f8 ?\g f8 ?9AD5A\7T=VWWD5UT94b 456 A X5 B gf: ( ) W q V V qU AB A B AB   AB AB W U q  (9.2) : - nD54b= A a<84b=?3;Y`VE (ff ) 1789 0 VA  43V=D B AB W U q ff  . - nfZ85[8ZA@267S23=TUVWWD5\c Y8 5;<9 \i53Z85[8ZA@267SE3[5=CXA 8. - 23=UVWW T D5 123 dY92YU23=TUVWWD5 1789]32e759;36512. / 9.1 q W *(&fi -   E / 9.2 q WA E A B WB 2_TB Physics M6.pdf 77 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


73 3.  ffi! !  #   *ff& 2 *( &fi # -  0( "-  ffi  ! !  #   . *&fiffl- fi "    ffi! !  #   !$" ' & fl A ! B , *ff& ffl&) A 2 & fi!$ ! ffl & &) B 2 & %fi%fi*(&fi ( - / 9.3. ). *"! ff 2%fi*(  &fi * -  &#   fi+ &  * &(" *%  %fi  &#   %  ffi ! !  #   !$" ' & fl A ! B . &#    & "  & (" #   2 *%&  %fi*(&fi * -  2$  &, fl & %fi*(&fi * -  fiffl  " &   (" *%   %fi  &#   , ' "% )  &*% *(&fi-      (& %fiffi & ! !  #   !$" ' & fl A ! B . 0 ffl fi "   !  #   %fi'2+ fl & %fi"0 *fffl & ffl&) 'fl (  A ) 2 *(& &fi ! ffl - &) %fi!$*(&fi ! -   ( /9.3.%) ' "% )  &*% *(&fi-      (& %fiffi & ! !  #   %fi'fl  $  1- (& %fiffi & ! !  #   !$" ' & fl   A ! . 4. !#   %fi*#   'fl  ff ' ! *#   ' fl q 2+&  ! 3'fl & / P $ ' * & #   ' fl#!  r . !#   3'fl & / P &* ' *  #   ' fl q  %#:   q V k r  (9.3)  9 22 k  9 10 N.m /C ( %fi! & #   *  / *&fi#!$ -  & r  ff *&fi' " - ! & #   * (  !.  & & , !  #   !"&* ' $  1   / 9.3  ffi! !  #   % q r V / 9.4 P 2_TB Physics M6.pdf 78 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


74 *#   ' fl '# ) ( *& & ffi " ff  -  ( %fi! #   &* ' *   # ' fflfl !fi & ( : - 1 n i i i q V k  r  (9.4)  ir #!$ & ' & i q #$ 'fl &* * . 0  #   ' $ ' fl 3 ffl ffi "%fi+" &  *4   !#   3%& / 2  ()  & ! *& !  #   3& / & ffi "%fi+" & , 3  'fl#!$ & / ' + & " &   () #! ffl  & / (9.3) #! $ ffl & fi  ' 'fl  2' %fi+" & #*0  ' * fl  * .  ffl"3  & 1: ' fi $ ! & %fi*  #   ' fl q &#!$  1m ' '# fl  ' fl.  . 'fl & %+ #   ' fl -6 2 10 C %. 'fl & %+ #   ' fl -6 -2 10 C "  :  & & /:  -6 1 q  2 10 C ; -6 2 q  -2 10 C; r 1m fi $ : V  ? . fi $ !#   %fi*#   ' fl -6 1 q  2 10 C  2 ) /  : q V k r  ( & 1 q ff k ! r 2 / & #:   9 6 9 10 (2 10 ) 4 1,8 10 V 1 V    %. fi $ !#   %fi*#   ' fl -6 2 q  2 10 C  2 ) /  : q V k r  ff ( & 2 q ff k ! r 2 / & #:   9 6 9 10 ( 2 10 ) 4 1,8 10 V 1 V      2_TB Physics M6.pdf 79 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


75 5.  # 'fl  2 *(&fi - #   ' fl q ' 'fi fl #%#$ fi  ' +fl & & !  #   *& V 2 )  *  & qV ffl&) # ' !   fl   ) 3 2 & / ff! /    * &*fi " ff! &  #   &*    2#   ' fl*fi.  W qU   (9.5)  ! ) 2 *(  &fi - #   ' fl q &  / 9.5. ' ' fl C *0'  fl D * & ##!  CD = ! #!$ !$" & & fi%"  AB  d  %fi("  F 2  *& #   ' fl q ffl !"%fi * (" #  (#! & & :  W F   cosfi ffl&  cosfi  d  W qEd    (9.6) $1-W qEd qU    (9.7) - ! ) *( &fi - #   ' fl q &  / 9.6 ' ' fl C *0'  fl D ffl *   2 #) 2$  ) " 3& !$" & / % & " A ! B $1 5+ ff%+    ! 2   '   0  "- * &  *  & ! #! *( - &fi - & ffl *  (" %fi#     'fl q 3/!$" &  fi+ &   : & 1 2 ; ;.... n   ! #!*(&fi - & ffl !"* ("  : & 1 2 ; ;.... n dd d .  %fi("  F qE  2  *& #   ' fl q ffl !"%fi* (" # '  ( fl #! & & :   1 2 cos cos ... cos WF F F   fifi fi n   ffl&  cosfi  d   1 2 1 2 ... ( ... ) W qEd qEd qEd qE d d d      n n (9.8) -  fl #   ' flq *fi #" 32 & / & # E & / 9.7. 0 ffl fi *(  &fi - #   ' fl q ' 'fl A $ B "(" #"(  ( & ( a  0 ) fflfififi  ffl    & %+ *  &   qE 2    %    (" *%  &#   ,                 A B C D fi E C D d                  A B d / 9.5 / 9.6 / 9.7 2_TB Physics M6.pdf 80 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


76  &* % ' *(  &fi - & %fi# ' ' ' fl fl A #$ B : & W Fd qEd A B   (9.9) ( & / (9.9) 2 & (9.2) #ffi ! !  #   !$"  fi & & !$(: -  U Ed (9.10) ffl"3  & 2: ffi!$ ( & %+  " $ /&  & #!  20cm ffi! !  #   !$" ffi & &  fi  400V . ' fi $ : & . (" *% %fi  &#   !$" ffi &   fiffi & . & %. 0 *fi*!   ffl "   -31 9 10 kg ! # ' fl -19 -1,6 10 C $fl 1 fifi ' ffi!&  '*(  &fi - & "(" *!  &*& 2? "  :  & & /:  d   20cm 0, 2m ; UBA  400V ; -31 m  9 10 kg ; -19 qe  -1,6 10 C fi $ : . E  ? , %. a  ? . fi (" *% %fi  &#    2 ) /  : U E d  ( & U ! d 2 #& :  400 2000V/m 0,2 E   %. fi (" *!&%fi *(&fi - & %fi# ' fl  2 ) /  : F  ma * & F qE  . , %(  24 - #&  qE ma  ( & q E; ! m 2 #& :  -19 -31 1,6 10 (2000) 9 10 ( )  a 14 2  a 3,5 10 m/s 2_TB Physics M6.pdf 81 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


77 ( 0  !  ) *{  $  1. !#   $ & ?  2. ffi!$ " ( & %+  /&    "#!$   & 1,2cm ffi! !  #   480V . 2$* #   ' fl -19 1,6×10 C " 2 *(& & ffi!$  fi. 0   " ("   & 2  *& #   ' fl ( *& & 2? 3. *fi*! ffl3 !$" & / ffi!$ " ( & %+  /&    "#!$   & 1cm.  ffi! !  #   100V . ) 2$   -19 e 1,6×10 C! -31 9 10 kg me  . ' fi $ : & . (" *% %fi  &#   . %. (" *!&%fi *(&fi - &# ' . fl 4. 'fl A !  #   2V ! 'fl B !  #   6V . 0 ffl fi *(  &fi-  #   ' fl 6 2 10 C  ' 'fl A #$ ' fl B . 0 "  # &  & ffi ! fifi ( *& & 2? 5. # ' fl 8 3 10 C " 3'fl & / B * &$ ' & 'fl A 25cm ; 'fflfi" #   ' fl Q & *4  $ ' ' & fl A *& 2 ffl  2  *&  * ! 4   %fi/+" &  '  &'*   2$'fl  *(  A !  #   *  ? / "/  !&  4   %fi +" & * &   20 cm (/ 9.8). 6. # ' fl -8  1 10 C ! -8  1 10 C %+   *&  " $   & #!  3m . 0  & fi#   'fl -9 1 10 C *(&fi - ' '  fl A $ ' fl B 0  "  # &  & ffi! fifi ( *& & 2? (/ 9.9) 7.  *) #   ' fl 4 ffl" *%   #" 2 *& &- fi!fl%fi /'fflfl! & %  "  0,1m & / 9.10 ' fi $ &  %fi# ' fl4 .  ) 2$   6 q 10 C  . A B 3m 1m 1m 1 q 2 q  / 9.9 20cm A B d  ? 5cm %  / 9.8  / 9.10 0,1m 0,1m q 2q q 2q A B C D 2_TB Physics M6.pdf 82 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


78   10. *(&fi - fi#   1. *(&fi - fi#   1.1 *(&fi - fi#   *(&fi - fi#   &   !  & 2   *( & &fi - fi# &  ffi!$ & ff * &*  "0 fl # )  fifi" %+    %   !$"  ff"  &  "  &)  # )  (*fi*!   ffl ) * &fi   & / fi  $1- *' $  1- ",... 2ffi" "  'fi  # *(&fi - fi#   & / 10.1. 0 ffl &) fi %fi*(  &fi - fi#   2 &  fi%  " &) # (&, 4) # ,...) *(&fi - fi#   'ffl#  *fi*! ffl'#!"ffl  "  3 %& / "ffl #  ! ! %  " ffl#  " ffl   &   ffl  & %+ *  &    & / 10.1 . *ff&  ) 2$  % "ffl  # " * # ' fl" ! %"ffl #  !*   # ' fl!.  1.2. (" fi%fi*(  &fi - fi#   gZ57c?9VWW D 5E?`1h D 23Z 8 T=n 17 b 9gZ57;575=;3; 8 7]32 Y e759VWW5UD T94b \?Y5VZC9h D YZ; ;52B UdT Y92U23= Y TUVWW5 D U gY`g85. ZT=nb[l8`;575=\6TUVWW5UD 94T bV=DXj5A Xjf [D?A179E8 lD 96UhT YZgY`g85 C \> e8 `6B59==Y DZA;=: < q C U  (10.1) C 1789gZ57cD?9VWW5E?`Z D T=nb 7SXYZ[8ZA\]T9W5o5= ( F). / 10.1*(&fi - fi#   C +q -q U . ffl&)*(&fi - fi2"  'fi  %. !   %"#   ' " fl %"#   ' fl!  ffi!$ & "0 fl*fi*!   ffl ffifi ! & /  ffi& 1 ffl (. *(&fi - fiffi  !$ &   2_TB Physics M6.pdf 83 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


79 gZ57cD?9VWWD5\c Y8 56TU?T=h5;8Z923XZ85`VWW5UD T94b6TUdY92YU23=TUVWWD5 E?`ZT=nb. gZ57cD?9VWWD57SXYZ[8ZA\]T96<2Y`h B8@Z9 (C/V) Xjf W5o5= (F). 1 W5o5= 1789gZ57cD?9VWWD5E?`ZT=nb9B5VWW5cD S87SdY92YU23=TUVWWD5 1 @Z9 XjT`456V=D_TUVWWD5UT94b 1 6<2Y`. ?b]3g<9E?`W5o5=7S=T8`9 SD : 1 7e@6oW5o5= (!F) = 10-6 W5o5= (F) 1 95@9W5o5= (nF) = 10-9 W5o5= (F) 1 ]S@6W5o5= (pF) = 10-12 W5o5= (F)   1: \g f8 ?`cD?9VWWD57Sg85 70!F ffl&) 2 & ffi !!  !  #   20V . 4Y8`>?6VWW5UD T94bE?`\g f8 ?`cD?9VWWD5. : ; e8 `cS8_<D : -6 C  70 F = 70 10 F ! ; U  20V fi $ : q  ?  2 ) /  : q C U  -6 3 q 70 10 20 1,4 10 C    1.3. (" fi#   ffl 5 & \g f8 ?`cD?9VWW5 17 D 89?]36?9c5` b VWW5>39 D =[e l8` C>D\i f8 ?\6TUVWW5 UD T94. b \g f8 ?`cD?9VWW57D SXj5A>39e=\> T8 9: \g f8 ?`c?9 D VWW51d D 89iq`, \g f8 ?`cD?9 VWW5[D 8ZA7Y9, \g f8 ?`cD?9VWW5c D B86Y7. C9UY=9 SD 4365Z\n 8 e`iq` \g f8 ?`cD?9 2 >39=ge f\g f8 ?`cD?91d89iq` 123 \g f8 ?` cD?9[8ZA7Y9. 1)     flflffiffl (" fi%fi*(  &fi - fi#   ff* *(&fi - &  fi" fiffi  !$"  & %+   %   ""!  fi  &)  # )  ffl!ffi & !$ & * fi- &A *& , "   / 10.2 *(&fi - fi#    ffl 5 & +q C  70 F! -q U  20V 2_TB Physics M6.pdf 84 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


80 $  &  "#!  d ; (" *%  &#   3!$" & /  & fiffi* & &   E . ffi! !  #   !$"  fi & ffi!$ &   : & U Ed  (10.2) \g f8 ?`cD?9VWWD5V=D;3;Y7]32e759VWWD5UT94 b 0 q EA  " (10.3) \7 f8 ?1c9g85 U ! q C;8;<= (10.1) 43V=: D 0 A C d  " (10.4) * & 12 2 2 0 " 8,85 10 C /N.m     2: \g f8 ?`cD?9iq`;D5`E lD 9=DZA;?`1d89@2X3E3[596T9\> e8 `7S\9 fD ?cS81h823[D5 1789 A = 200cm2 *&fi%-  "fi   123 Z5`X85`6T9 0,4cm. nD5\i e8 9hB8 ;?`E YD Z\g f8 ?`cD?9C;8dY92U23= Y TUVW U = 500V. '(& #! & : 6. gZ57;575=cD?9E?`\g f8 ?`cD?9. E. VWWD5UT94bC9\gf8 ?`cD?9 123 gZ57\ETD7E?`c Y8`VWWD5. ff : ; e8 `cS8_<D : A = 200cm2 ; d = 0,4cm ffU  500V fi $ : . C  ? %. q  ? ; E  ? 6. >?6gZ57;575=cD?9E?`\g f8 ?`cD?9. 95C> B D;<=: 0 A C d  " 4 12 12 2 200 10 (1)(8,85 10 ) 42 10 F 0, 4 10 C        42 pF. E. >?6VWWD5UT94bC9\gf8 ?`cD?9 123 gZ57\ETD7E?`c Y8`VWWD5. - VWWD5UT94bC9\gf8 ?`cD?9 9B5C>D;<=: q CU  q = 42 1012 500 = 21 109 C = 21 nC - gZ57\E TD 7E?`c Y8`VWWD5 9B5C>D;<=: U E d  E  / 10.3 *(&fi - fiff  B 2_TB Physics M6.pdf 85 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


81 2 500 0, 4 10 E   = 125 103 V/m. 2)     flflfi   gZ57cD?9E?`\g f8 ?`cD?9VWWD5[8ZA7Y9cS87S2T=;3rS r , 23=TUVWWD5a<8[D5[8ZA7Y943\c Y8 56TU q V k r  1c9C;8;<= (10.1) 43V=D;<=ge=V28gZ57cD?9E?`\g f8?`VWWD51789: r C k  (10.5) k 1789;B5]3;e=6<2Y` (k = 9 109 Nm2 /c2 )   3: [ZA7 8 Y9[ l8 `7S2T=;3rS 20cm .4 Y8 `>?6g85gZ57cD?9E?`\gf8?`cD?9VWWD5 [8ZA7Y9. : ; e8 `cS8_<D : r  20cm = 0,20m fi $ : C  ?  2 ) /  : r C k  11 9 0,20 9 10 F 9 10 C    2. ffl&) *(&fi - fi#   * 4" 659C>D\g f8 ?`cD?9VWWD5C9hYZ4e` \i f8?CXDV=DgZ57cD?9VWWD5 123 dY92YU23=TUVW WD5456B T=h57gZ57hD?`659 \i e89V=DhB8\g f8 ?`cD?9Xj5A@hC;86T9a<8C9ZY`4?9VWWD5\]T9 1UUh B8 2q96T9 123 h B8 E3[596T9. 2.1. ffl&) *(&fi - fi!    659h B8 \g f8 ?`cD?9VWWD51UU2q96T9 1789659h B8 \g f8 ?`cD?9VWWD5 @=A\?Y5E YD Z2YU E?`\g f8 ?`cD?9VWWD5@hcS[l8`75h B8C;8EYDZUZ6E?`\g f8 ?`cD?9VWWD5@hcS;?` 12DZ\?Y5 EYDZ2YU\g f8 ?`cD?9VWWD5@hcS;?`h B8C;86TUE YD ZUZ6\g f8 ?`cD?9VWWD5@hcS;57 \_T=1UU9TD9 hB8V]4Y9gYUcb6\g f8 ?`; ;b=cD5AhB8EYDZUZ6E?`\g f8 ?`cD?9VWWD5@hcS[l8`C;86TUEYDZUZ6E?` UB8VWWD5 123 E YD Z2YUC;8EYDZ2YUE?`U B8VWWD5 = T8 `_<U 10.5. / 10.4 r r  20cm 2_TB Physics M6.pdf 86 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


82 659VXjE?`VWWD5UT94b Q 43\6S=E lD 9c9cT S \7 f8 ?hB8EYDZE?`\g f8 ?`cD?9VWWD5C;8 6TUU B8VWWD5 cS87SdY923=UVWW T D5 U  *(  &fi# -  ffl&) !  fi     # )  & ffi! !  #   (- & " '* &  2$% "*(  &fi - fi#   ffl!fi &  %"+ & *  # ' " ! fi fl  + & * #   ' fl!.   , *(  &fi - fi#   ffl&) !  $  fl 1# /  (#! & & :  1) # ' !" fl Q !": Q 133  qqq (10.6) 2) ffi! !  #   U !": U  UUU 133 (10.7) 3) (" fi#   C !": 123 1111 CC C C    (10.8) 2.2. ffl&) *(&fi - fi%+     659h B8 \g f8 ?`cD?9VWWD51UUE3[596T9 1789659h B8 \g f8 ?`cD?9VWWD5 @=A\?Y5 EYDZUZ6E?`UT9=5\g f8 ?`cD?9VWWD5752Z76T9a<84b=C=[l 8` 123 \?Y5E YD Z2YUE?`UT9=5 \g f8 ?`cD?9VWWD5752Z76T9a<84b=C=[l8 `. ;b=cD5AhB8EYDZUZ6E?`\g f8 ?`cD?9VWWD5C;8 6TUEYDZUZ6E?`UB8VWWD5 123 E YD Z2YUC;8EYDZ 2YUE?`U B8VWWD5 = T8 `_<U 10.6. 659VXjE?`VWWD5UT94b Q 43\6S=ElD9 cT9cS \7 f8 ?hB8EYDZE?`\g f8 ?`cD?9VWWD5C;86TUU B8 1 q 2 q 3 q U1 U2 U3 C1 C2 C3 U Q Q _<U 10.5 \gf8?`cD?9VWWD5hB82q96T9 1 q 2 q 3 q UUU 123   C1 C2 C3 U Q Q _<U 10.6. \g?`c f8 D?9VWWD5hB81UUE3[59 2_TB Physics M6.pdf 87 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


83 VWWD5 cS87SdY923=TUVWW5 D U *(&fi - fi#   ffl&) %+   $  fl 1#:  1) # ' fl Q !": Q 133  qqq (10.9) 2) ffi! !  #   U !": U  UUU 133 (10.10) 3) (" fi#   C !": CCC C  123   (10.11)   4: 4`>?6X5gZ57c Y8 D?9VWW52Z7E?`\g D f8 ?`cD?9VWWD5E3[5= 10 F! 123 20 F! C96B239S\g?`c f8 D?9cT`;?`h B8 1UU2q96T9 123 E3[596T9. : ;e8`cS8_<D: 1 C 10 F! ff 2 C  20 F! >?6X5: C  ? 2 ! ) ffl&) ! ! %+ . - C96B239S\g?`c f8 D?9cT`;?`h B8 1UU2q96T9. 95C> B D;<=: 1 2 111 CCC    1 1 10 20     C 6,7 F! - C96B239S\g f8 ?`cD?9cT`;?`h B8 1UUE3[596T9. 9B5C>D;<=: CCC  1 2    10 20   C 30F 3. ff!    2*(  &fi - fi#   \7 f8 ?h B8 ;?`d9E?`\g Y f8 ?`cD?9VWWD5C;86TUU B8 VWWD5 \g f8 ?`cD?9\6S=he=VWWD5 AD?9Z85 U B8VWWD5V=D;Y8`VWWD5U94T bCXD168EYDZ\g f8 ?`cD?9 VWWD5. h576Y=\69_T6;5i32T``59, 1_``59=T8`65Z7 8 Sg85\c Y8 56TUi32T``59c S8 ;3;Y7a<8 C9\gf8 ?`cD?9VWWD5. nD5\_Y5C>D;5A95VWW B D5h B8 23XZ85`;?`EZE?`\g YD f8 ?`cD?9VWWD5, Q1 Q2 C1 C2 U Q Q Q1 Q2 C2 U Q Q C1 2_TB Physics M6.pdf 88 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


84 \g f8 ?`cD?9VWWD543]8?AVWWD5??6 \_T=CXD631;VWWD51289d59;5A9 8 5VWW B D5 123 1d8gZ57_D?9??6a<8C9;5A9B5VWW59D TD9. C9E3937T9]8?AVWWD5??69 TD 9 1789]8?A i32T``59c;3; S8 Y7VZDC9\Z257T9he=VWWD5 i32T``59c;3; S8 Y7VZDC9\gf8 ?`cD?9VWWD5 C & #   ' fl q 123 dY92YU23 =TUVWWD5\c Y8 56TU U 436B59==Y DZA;<=: 2 11 1 2 22 2 q W qU CU C   (10.12) W 1789i32T``59VWWD5 7SXYZ[8ZA\]T9a<9 (J ). 4. "0fl  *fi*!   ffl 456659cY=2?`\i e8 9iYUZ85 nD5\?Y51d89=S\? \2T6hoe6 (Dielectric) 1c9U8?9?565=C9\gf8 ?` cD?9 @=ACXDgZ576Z D5`E?`1d89=\?\2 S T6hoe6 9D?A6Z 85V2A3X85`23XZ85`;?`E YD Z\g f8 ?`cD?9 (a < d ), 7T9\_T=CXD\6S=7SdY92YU23=TUVWWD523 XZ85`;?`EZ\g YD f8 ?`cD?99D?A2Y` X 7jf 659] S 8q91]` gZ57\E TD 7E?`c Y8`VWWD5a<823XZ85`65`E?`;?` EYDZ\g f8 ?`cD?9 4 l8 `\_T=CXD7SgZ57;575=cD?9 Xj5AE lD 9. 9 TD 9;31=`Z85 659\?Y51d89=S\?\2T6 hoe6 ;?=C;823XZ85`;?`E YD Z\g f8 ?`cD?9 ;575= \i S87VWWD5U94T bCXD168\g?`c f8 D?9V=DXj5AE lD 9 Xjf \Z YD 5?S6a85`[ l8 `Z85\g f8 ?`cD?9;575=UT94bVWWD5V=DXj5AE lD 96Z5\= 8 S7. (" fi%fi fi%  "*(  &fi - fi*  &fi- fi %    0 0 A C d  " (10.13) (" fi%fi fi%  "*(  &fi - fi *  &fi- "0 fl*fi*!   ffl %   A C d  " (10.14) ffi!$ # ' fl!  !   U / 10.8 ffi*  &fi*fi -  "0 fl *fi*!   ffl % !$"   fiffi & & !$%fi*(&fi - fi.  Dielectric Q+ Q2_TB Physics M6.pdf 89 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


85 " ("  & #   %fi"0 fl*fi*!   ffl *fi  (10.13) $ 2$(10.14) '#:  0 k " "  k  &  )  *fi*!   ffl (Dielectric constant). fiffl  "!$" & ("  & fi#   *&fi- "0 fl*fi*!   ffl  % *fi  " & “  )  *fi*!   ffl ”.  &   0 " "  k (#! ("  & fi%fi*(  &fi - fi  &"#*ff  & (#! ffl  & / & :  0 0 A A C kC k d d   " " (10.15) 0 fi %  '  k 1 ffl"3  & 5: *(&fi - fiff  & 0 - %   " fi  & !$%+   *  & * fi- & ffl!+ &    & A = 200cm2 % "fi  ! " $   &   0,4cm. 0 *ff & ffl&) fi%"*(  &fi - fi2  ffi& ! !  #   U = 500V. '(& #! & : . ("   fi%fi*(  &fi - fi.  %. # ' 2*( fl &fi - fi, (" *%   %fi  &#   ! ff!   &*(&fi - fi   #"   : ; e8 `cS8_<D: 2 A = 200cm ff d  4cm ff k 1; U  500V >?6X5: . C  ? ff%QEW   ?; ?; ? . ("   fi%fi*(  &fi - fi.  /10.9 ffi*  &fi*fi -  "0 fl*fi*!   ffl % !$"   fiffi & !$%fi*( & &fi - fi  Q Q Q Q Q Q Q Q V Ed 0 0 = E0 d E V Ed = E # E0 2_TB Physics M6.pdf 90 7/30/2015 3:08:37 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


86  2 ) /  : 0 A C k d  " 4 12 2 200 10 (1)(8,85 10 ) 0, 4 10 C     12 C 42 10  F  42 pF. %. # ' 2*( fl &fi - fi, (" *%   %fi  &#   ! ff!   &*(&fi - fi   #"  .   2 ) /  : Q = CU Q = 42 1012 500 = 21 109 C = 21 nC  2 ) /  : E = U d 2 500 0,4 10 E   = 125 103 V/m.  2 ) /  : W = 1 2 2 CU W = 1 2 42 1012 (500)2 = 5,25 10 6 J ( 0  !  ) *{  $  1. *(&fi - fi  $ & ?  2. *fi*!   ffl  $ & ?  3. i32T``59c;3; S8 Y7VZDC9\gf8 ?`cD?9VWWD5 123 d92Y YU23=TUVWWD5 1789E9alD <8 6TU ]32e759C=? ?3ceU5A. 4. 4Y8`>?6X5]32e759VWW5UD T94bcS8;56\E YD5V]C9\gf8 ?`cD?9, \7?\g f8 f8 ?`cD?99 TD 9nf6h B8 C;86TUdY92YU23=TUVWWD5 1kV . (CXD_<D\g f8 ?`cD?97Sg85\c5 Y8 12 300 10 F  ) 5. [8ZA7Y9@2X37S2T=;3rS\c Y8 56TU 20cm 7SVWWD5UT94b 4 10 6C a<8\]f?69?6 E?` [8ZA7Y9. 4 Y8 `>?6X5gZ57\E TD 7E?`c`VWW Y8 D5 123 23=TUVWW5C91h D 8236239 B S =T8`9 SD : 6. V2A3 10 cm X85`4564b=C465` O E?`[8ZA7Y9. E. a<8\]f?69?6E?`[8ZA7Y9. g. V2A3 80 cm X85`456\]f?69?6E?`[8ZA7Y9. 2_TB Physics M6.pdf 91 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


87   A B 2cm / 10.10 6. \g f8 ?`cD?9?T9[ l8 `7Sg85gZ57cD?9\c Y8 5 8C \7 f8 ?E TD 9=DZA?565=, 4`6 Y8 B59Y=g85gZ57 cD?9 \7 f8 ?7T9E TD 9=DZA=S\?\2T6hoe6, \> e8 `hYZgY`g85=S\?\2T6hoe6\c Y8 56TU 6. 7. \g f8 ?`cD?9VWWD5iq`, ]36?U=DZA;?`1d89@2X3Z5`E3[596T9 1h8231d897S \9 fD ?cS8 4 2 200 10 m Z5`X85`6T9 0,4cm E TD 9=DZA?565=. 6. 4 Y8 `ge=V28gZ57cD?9E?`7T9. E. nD5\g f8 ?`cD?99 TD 9h B8C;8dY92YU23=TUVWWD5 500V . 4 Y8`>?6X5VWW5UD T94bcS8;3 ;Y7VZDC9\gf8 ?`cD?9 123 g85gZ57\E TD 7E?`c Y8`VWWD5a<823XZ85`65` E?` 1d9@2X3. 8. UT9=5VWWD5UT94bhB8V]9SDnf6Z5`h57169 x =T8`9 SD : 1 q  2C 3/& fi & x  20cm ; 2 q  3C 3/& fi & x  30cm; 3 q  4C 3/& fi & x  40cm . ' fi $ ! &  # !"& 'fl x  0 . 9. C9_<U 10.10 CXD;?`1d9@2X3V= 8 DhB8C;81h823; YD9E?`U B8 VWWD5 120V cT`;?`]8q`9 TD 9nf6E TD 965`=DZA1Z=2D?7;<9 A565=. 4 Y8 `>?6X5: 6. gZ57\E TD 7c Y8`VWWD5cS8a<823XZ85`65`;?`]8q`. E. gZ571_`c S8 63cYUh B8 \?\2T6hoY`cS8a<823XZ85`65`;?` ]8q`. g. i32``59c T S8C>DC9659\gf8 ?9AD5A7T9456]8q` B X5 A . `. gZ57VZ\?\2T6hoY`\7 f8 ?\ne`]8q` A iB=S. 10. \g f8 ?`cD?9VWWD5;?`?T9 C1 123 C2 \7 f8 ?h B8 2q96T9 12DZh B8C;86TUU B8VWWD5cS87SdY92YU 23=TUVWWD5 12V, 1h823?T9437SVWW5UD T94b 24!C. nD5\?5\g Y f8 ?`cD?9cT`;?` 75hB8 E3[596T912DZ\?Y5V]hB8C;8UB8VWWD5 ?T9\6 Y8 5, VWWD5UT94b2Z7cT`;?`\g f8 ?` cD?91789 108!C. 4Y8`>?6X5g5 gZ57c 8 D?9 C1 123 C2. 11. C9_<U 10.11 C1 = 4 !F; C2 = 6 !F, C3 = 15 !F. 4Y8`>?6X5d92Y YU23=TUVWWD5 123 VWWD5UT94 b C9 1h823\g f8 ?`cD?9. CX D UAB = 150 V C3 C2 C1 / 10.11 A B 2_TB Physics M6.pdf 92 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


88 12. 4 Y8 `ge=V28gZ57cD?92Z7E?`UT9=5\gf8?` cD?9 C1 = C3 = C5 = C7 = 4!F 123 C2 = C4 =C 6 = 1!F cS8hB8\]T9ZY`4?9 =T8`_<U 10.12 . 13. CXDZY`4?9VWWD5 = T8 `_<U 10.13 _<DZ85: UAB =30V;C1 = C3 = C 5 =1!F; C2 = 4 !F 123 C4= 1,2 !F. 4 Y8 `ge=V28: 6. gZ57cD?92Z7E?`cT`rY=ZY`4?9. E. dY92YU23=TUVWWD5C91h823\g f8 ?`cD?9. 14. \i e8 9\?Y5\g f8 ?`cD?9iq`;?`1d89 Z5`CXDX85`6T9 5 cm (" 1). nD5?\2S T6hoY`\7T= [l8`\g f8 ?9c S8 h57\; TD 9gZ571_`456EZ[ YD l8 `E?`\g f8 ?`cD?9V]X5?S6E YD Z[ l8 `E?`\g f8 ?` cD?9=DZAgZ57VZ 6 3 10 m/s . 4 Y8 `>?6X5gZ57\E TD 7c Y8`VWWD5a<823XZ85`65`E?` ;?`E YD Z\g f8 ?`cD?99 TD 9. 15. \g f8 ?`cD?9VWWD5 3 ?T9, 1h823?T97Sg85 120pF V=DhB8C;8VWWD5 500V XjT`4569TD9 \i e8 9\?Y5iZ67T975h B8 2q96T9 4 Y8 `>?6X5: 6. VWW5UD T94bE?`1h823\g f8 ?`cD?9. E. dY92YU23=TUVWWD52Z7E?`rZ=\g f8 ?`cD?9. g. i32``59c T T`rY=E?`23UYU\g f8 ?`cD?9. C7 C2 C4 C5 C6 / 10.12 C1 C2 C3 C4 C5 / 10.13 A B C1 C3 2_TB Physics M6.pdf 93 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


89 ff   III  #     11  # 1.  #  #   *( & &fi - &  %fififlff #  #  % *  &fi- *(  &fi -  %fi*fi*! ffl* !  2!$ $1- *(&fi - &   %fi fi  fi (" ! !  ) 2 !! .   #   & fi *ff & &  )  %fi  # &  *(&fi - & %fi# ' " .  fl & , 2   # )  !$ %fi  # '&      *(&fi - & %fi *fi*!   ffl.  *    # /   & !2"! & fi2+  & fi2 ffi&    ffl 5 & &* % .   # !2  & # )  * 2$   # )  fi%     ffi&  & &2$)  * ff!   ("   fi *  : *ffl &  !, *ffl   # , fi #…  # !ffi&  !! ' & "+ ) &  ( !!  # ' ) fl &2$)  *    %& "#   (%"!  ! %  "" )   ffi    *(  %fi  #   . ) !*" &   #   &  *$&  1 #   ffi&     #   *$&  1 %fi  # . 2  2$  *$ "  &   *$&  1 #  &    & * ffi!"  & fl2 33 - 2$/  " &  #   . ffl2fi & " & *(  !!     % ffffl  2 & ! ) & !! &)  # )  *& . *  &fi  # -  ffi & "0 fl&  # )  #   ) &) * ffi  ("   fi*   & .  2. (" *% %fi  #   *&fi- #   ' fl' "+ ) &  $1- !  # ' fl Q & !ffi& * & fi- &+ ffl  %fi"0 fl # )  2+& $"+ "*"! & t 2"0 ' fl  #   !ffi& . ! &  # ' fl&*(&fi - & ffi + & ffl   &%fi" - 0 fl # )  2+& $"+ "*"! * & &  *0fi  2   ) %fi  #   *ff& *fi" : ( & " *%   #   , !   "  I . 2_TB Physics M6.pdf 94 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


90 Q I t  (11.1) $"+ "(" *% &    #   I *  /!/"    $1- fi  ( ) A ) 0  #   (" *%     I #ffi " & 0 fl # )  & * fi- &+ ffl   A , (" + +%fi  #    & "ff & "ff   ffl  /  !fl& :  I j A  (11.2) j (" + + & %fi  #   2 A/m (fi ffl ) &)   !)  fi)  !  # ' fl Q *(&fi - & *42"0 fl # )  & * fi+- ffl   A ffl   " 2*"!  t .  # &* % ' *(  &fi - & %fi# ' fl*fi " &  #  (Direct Currentffl DC). "0 fl& & fi2$#   ' *(fl &fi - & ffi *fi & " : & "0fl  # )  . 2!$#   ' fl3 $ & 1"$1 , ffl"& & ff#   ' fl' "+ ) & *&   &  *(&fi - &* !#. #   ' fl&  *(&fi - &* !# *fi  " ff & $ # )  . 0 2$  n (" + + & %fi*fi*!   ffl* !   $1- ' "*fi*! )  ffl* !   ffl&) $"+ " & ) !  %fi  # )  , v (" #"*( & &fi - &  %fi*fi*! ffl* !   ! e # ' %fi*fi*! fl  ffl.   fl 2#!*"! t ' "*fi*! )  ffl* !  *(&fi - & ffi * & fi- &+ ffl %"   A %fi  # )  $1- ' "*fi*! )  ffl* !  2  # )  & ) !  *&   n A $1-nvtA. & , !   # ' %fi*fi*! fl  ffl* & : Q nevtA  (11.3) ( %fi & I 2 ffi   (11.1) 2 & ffi   (11.3) #:  I  nevA (11.4) ffl"3  & 1: # +& *  ffi  & 0,002 cm #   ' fl!ffi&  & 300 C ff  2*"! 4   ! ' "*fi*! )  ffl  22 2 10 ffl"/m 3 . 0 " ("  & *%   #   , (" #"%fi*fi*! ffl ! (" + +  %fi   # !ffi& fflfi  &  * & 2? 2_TB Physics M6.pdf 95 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


91 "  :  & & /:  5 d 0,002 cm 2 10 m   ; Q t   300C; 4min= 240s; 22 n  2 10 ffl"/  m3 fi $ : I  ? ; v  ? ; j  ? - fi $ (" *%   #    2 ) /  : Q I t  300 C 1,25 A 240 s   - fi $ (" #"%fi*fi*! ffl   2 ) /  : I  nqvA I v nqA  (1) *fi- &+ ffl %fi   2 A r  $ 5 2 2 12 2 2 10 ( ) 3,14( ) 314 10 m 2 2 d $      ! 19 q e 1,6 10 C   ( & I; ; n e ! A 2 & (1) #:  22 19 12 1,25 2 10 1,6 10 314 10 v      9 1,25 1004,8 10 v   5  12,44 10 m/s - fi $ (" + +  #   !ffi& fflfi  &  2 ) /  : I j A  9 2 12 2 1,25 A 3,98 10 A/m 314 10 m    3. *(&fiffl - #   *(&fiffl - *   fi fi fl " & (" ffl  2$   " 'fi *ff  &- fi  #   $1- ffi! !  #   2$*4     " 'fi   *(  &fiffl -   2 (: *( - &fiffl -   (( ! *( & &fiffl -   ( # & .  3.1 ff"ff !$"   & I ! U 0 3 fi & / %fi   # )  ffi! !  #   '* )   #   !ffi&   & ) , (" *%   %fi  #   I 2  # )  %&   ffi   !!  #   U ffi   !fi2"  0 fl # )  $1  ffl ffl  & ff " :  &   %  ( (& ffl "2+  & &* *fi ! 2$  "fi   !$" )  & I ! U ffl ffl ! ) I  f U( ) . Georg Ohm  "  ( *3!   *   ffi/ fi)  & ) #   "  2_TB Physics M6.pdf 96 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


92 !fi ff  "ff !$"   & I ! U 2" 0fl  # )  &*  !$" & I  kU     ff  "ff  & / 11.1 2  k fi& ffl  "( & ( & &) 2"'fi  & ' fl"0 fl # )  *fi  " : ffl & " # )  (Electric conductance) $"+ "* &     (Siemens) !   "  S *&fi- !fi   !!  #   *ff&  ff " ffi & %fi   !fi  (& (  - !  !  &* fiffl  " &  ffl " # )  k &* *fi ! *0  ( !fl  ffl    #   %fi"0 fl # )  *fi" : ( & " ffl #   %fi"0 fl # )  . 1 R k  3.2 * fi  !) " 0 fl # )  &* !$& 3/fifl & $ff/ &) & , fiffl  "!$" &  & ffi! !  #   U (" *%     #   & !ffi&  &  ( & &) & . ( & &) & *fi " : (" ffl & #   , !   "  R. U IR  (11.5) ffi   (11.5) *  ffi %fi  * fi; (" ffl  #   R $"+ " & * "ffl&) fi  $ ) 1- *fi"  & fi !  !     & %. 3.3 *(&fiffl - (  ( & *(&fiffl - *   "{  fl fi fi & +  ( (  / -&)  fi5   ( ("  & ffl (  ( 2 &  !  $  1- 2"'fi#   ! 2 0  fi (  & (" ffl . 0  6 0 * *(&fiffl -   (" 4   & :  0 U I I=kU / 11.1 2_TB Physics M6.pdf 97 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


93 01 ffl"*!   1 02 ffl"*!   2 03 ffl"( / 04 ffl"*! (  ffi&  % & 05 fifl$ff / 0  01 ffl"*!  02 ffl"*!  03 ffl"( / ( ffi&   & (%) fifl$ff/. (ppm/k   ) 0 0 1 250  ffl  )  1 1 10 ±1% 100  2 2 102 ±2% 50   3 3 103 ±3% 15 *$1-fi 4 4 104 ±4% 25 %" 5 5 105 ±0,5% 20  6 6 106 ±0,25% 10 " (fi & ) 7 7 107 ±0,1% 5 * 8 8 108 ±0,05% 1 % " 9 9 109 ( ) 10-1 ±5% * 10-2 ±10% &)  ±20% ffl"3  & 2: *(&fiffl - #   & 0  !& fl& :  0 3 0: ,  , )  !   &)   (  3 20 10 20% 20 %&  %& k 20% ) 0 4 0: %",  ,  ! ( ( ) 2 56 10 ±5% 5600 ±5% %  % ) 1 2 3 4 5 2_TB Physics M6.pdf 98 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


94 ( 0  !  ) *{  $  1. '2$ &   (" *%    #   ,  *) *     #  ff  fi % (" *% /    #   . 2. "0 fl # )  "2? & 3. 'fi * & fi2%fi - * fi ff  fi  %  ? / 4. 0  ("ffl   "2?  5. ' fi $ ' & "*fi*! )  ffl   & !ffi&  # &  fi+ & 2 5 fl 1s *ff&- fi 2$*    #   0,75A . 6.   #   0,02A !ffi&   & * ) +& * & *  ffi   & 1mm *&fi- *fi*! ffl!  ffi&  & "(" #"  2,7m/s. ' fi $ ' & "*fi*! )  ffl &*(&fi - & ffi   & * )   ?  7. 2"'fi#   +&  fi"*(  &fi fi - & (" ffl  #   2 100 ffl&) ! (" ffl  #   fi 2,900  ! *(&fi "fi - ( & & #1,5 V. 0 "  # &  & !ffi& " & 'fi  ( *& & 2? 8. 'fi&  ! & "  ) *fi   (" ffl #   ' 0 !& fl& :  1) 0 4 0: , ,  ! ) .  2) 0 4 0: ,  ,  !   &)  .  3) 0 5 0:  , , ( ,  ) ! ( ) . ) 4) 0 5 0: , ,  , ( ) !  ) ffl . )  2_TB Physics M6.pdf 99 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


Click to View FlipBook Version