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Published by Kayeng Vang, 2023-08-08 01:41:10

ປື້ມແບບຮຽນ ຟີຊິກສາດ ມ6

ຟີຊິກສາດ

Keywords: ຟີຊິກສາດ

95  ffl12ffl ' !((ff), )ff 1. ff(ff)fi)  ff-ff !*ff%+!%ff   s u  s    u tu A   12.1.     uflffiffi  u  Va b   V U \ ffl  Va Vb \ ffiui ffffiufflffff a fl b vfi   uffl fl !ffl     uffi fl    us\ "fi  u  #ffi u s $ u   R ffl%u U  IR ffl U E   U  E E ff fi #  u  u ffiui #&%u E IR   ff  I J  A  % u E JA   ( )R J E E RA σ        (12.1) RA σ     '  ff ( ffff,, )ff&ff,'ff! fl tff S/m ('ff sff b " u ρ )ffi  ) u# σ fl! 1 ρ σ  u  ff(ff)&ff,'ff! ** fl   ρ ff R ( #&$ff    %u R A  ρ  (12.2) fi #ffi u u R fl t) + a b,  u tu#ffi   A fl t) ff   s ffi  am2 b, fi #ffi  fl t )ff  amb ff fi ffl u * s a ρ b+- #     s ()ffis u fl t) + ff a\.b\ (ff(  1* ffi s u $ u t/ \ ffl fi ( flfi fi  $ u  s   *  fi #ffi ff  u tu  ffiff$\ E  I A a U b  12.1  2_TB Physics M6.pdf 100 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


96 " ffl+*) l  afb fi #ffiff u % R1 A  ρ  fl! R1A ρ   l  (2) "*u  fi #ffis u) 2 ff  u tu   \ fi #ffiff u % 1 2 2 1 2 2 RA RA  R  R   l  (3) "*u   u tu)   2Aff   \ fi #ffiff u % 1 3 3 1 2 1 2 R A R A  R  R   2. ff(ff)fi)  ! &" !ff,* ffi/ ffi# )  &ff)fl*  $flfi u fi #+fl u )&ff)fiff$0 *   )(   %u $'  u + -  ( s su#t 12 V ffu sfiff   ff)$ffi s $ ffl    12.2\ l )   ffi   #   #fiff   ff) s ffu  /  \ l $'u  &flu!  90 $fl u u fi # ( + - ( \ ffi  # #fiff ff  u  /  \ l ffis  + - $fl ( u ff u ffi  # fiff ff  *u   u  /  \    $  s  1), 2) ff 3) )   #  #fiff   s ff)'fi u ff  i   s  # #fi  ff fi  )' fi u $ t/ i $'u  &  + - # (  #fiff fi    )' fi u $ t / ffl  s  1) ff ffi s $fl  u + -  ( ff u fiff  's fi u *  #/u \ ffl   uffifffl     + -  (   ufi * u  #/u  $fl u fl* $ffi  *s  #/u ff u $flfi  u $ffi u *s  #) /u s\ A    12.2 + - ( K 12V A 2 (2) A  (1) 2A  (3) 2_TB Physics M6.pdf 101 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


97 "$fl u ffffi u uff ffi  s u1ffl fi   # u $ffi  /u  $fl u fl* $ffi  *s  # ff /u *$fl u fi  u  u u*  #) /u s\ ffiui fi  u u# /u  fl*  \ " u s $fl u Rt )fi   #+fl2 u  t C i R0 )fi 2 u  fl* 0 C ** fl  fi   ff  u fl*  ffi  %u 0 (1 ) R R t  αt (12.3) α u  ffi )ffi s ( fl* #  "  s u fl t 1/ C 12.1 fi fi ffl u * ff ffi s )ffi s ( fl*   ρ fi ffl u * s a\mb 2 20 C α ffi)ffi s (fl*  a1/ C b 2 0 C l100 C ( ff  & ff fl!  ffiff   ffi  (+ -   1,47 x108 1,72 x108 2,63 x108 6,38 x108 9,9 x108 5,51 x108 44 x108 49 x108 100 x108 3,5 x105 3,80 x103 3,93 x103 3,90 x103 6,60 x103 5,00 x103 4,50 x103 0,00 x103 0,002 x103 0,40 x103 -0,50 x103 (ff(  2* ffi s uffiut /  ff u fi   100m ff ffiu #ffi 0,05cm\ " ffi  s uffiu u fi  u $0 " ffl+*) ffi(  %u 4 100m, 0,05 cm 5 10 m d      , -8 ρ=1,72 10 m  ' fl% R  ? 2_TB Physics M6.pdf 102 7/30/2015 3:08:38 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


98 $' s ffi u % R A  ρ  a1b ' fl u  t  A ffl fi(  u   2 2 4 2 8 5 10 2 3,14 19,625 10 m 2 2 d A r π π                ff fi , ρ ff A $ffi (1) u 8 8 100 1,72 10 8,76 19,625 10 R       (ff(  3* ffi u ffi ( ut / fl*  20 C fi  u u 5 " ffi ffi ( u u    fl*  0 C ffl fi    u $0 " ffl+*) ffi(  %u 20 C, 5 , t t   R 3 α 3,80 10 1/ C    ' fl% 0 R  ? $' s ffi u % 0 (1 ) R R t  αt 0 3 5 4,646 (1 ) 1 3,80 10 20 R R αt        3. ff(,( ' !((ff)+ ' - 3.1ffl ff(,( ' !((ff)+ # $ sfi  ff& u      f3\4 \ l ffffiu  fi  ff u   fi   \ I  123  I I I (12.4) l     u ff   #     uff fi  u \ U   UUU 123 (12.5) R1 R2 R3   U1 U2 U3 U A I B R    A B I  12.3 sff&  2_TB Physics M6.pdf 103 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


99   + U  IR \ ffi #&%u 123 IR IR IR I  R (12.6) fl ffi #ffi   (12.6) $flu I %u R   RRR 123 (12.7) ffiff fi   ff u   #fi  #ff u fi   u \ 3.2ffl ff(,( ' !((ff)+ !*ff $ sfi   u ufl! #  t      f3\5 \ l     u#fi  ff u   fi   v \ U   UUU 123 (12.8) l ffffiu $ffl ff   # ffffi u )ff  fi  u \ I  123  I I I (12.9) $' s u  + U I R  \  ui ffi #&%u 123 U UUU RRR R  (12.10) fl ffi #ffi   (12.10) $flu U  %u 123 1 111 R RRR   (12.11) ffiff fi   & u  ff    ffi  fi  #ff u fi  u \ R    A B I R1 R2 R3   I1 I2 I3 U3 U2 U1 U A I B  12.4 sff#t  2_TB Physics M6.pdf 104 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


100 (ff(  4* fi   u u 5   fi   u 15 2 3 RR R R     6, 4, 8, 4 R  10 s)ffl    12.5.     u2ffiffi  u AB ff 40V. ffl ' flfi # ffffi u u ff     u2ffiffi  #fi u  u R1 \ " ffl+*) ffi(  %u 1 5 R R  6 , 2 3 R R   4; 8 , 4 R  10 , U  40 V ' fl% I  ? , 1 U  ? l' fl ffffiu I ffl ffi%  U I R  l' fl R  ff ) (   %u ffl   fi  u 2 3 R R // \  ui %u 23 2 3 1 11 R RR   113 488  ffl   fi  u 23 4 R R // \  ui %u 234 23 4 1 11 R RR   3 1 38 8 10 80   234 80 2,10 38 R  ffl   fi  u R1 s&  R234 ff R5 \  ui %u RR RR R    12345 1 234 5   6 2,10 6 14,10 ff fi R ff U $ffi (1)  ffffi u u % 40 2,83 A 14,10 I   l' fl U1 $' s ffi u % U  IR U I 1 1  R   2,83 6 16,98 V R1 R2 R3 R4 A R5 B 40V 12.5 2_TB Physics M6.pdf 105 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


101 4. ff( ,( ,(, )ff+ ' - 4.1. ff( ,( ,(, )ff+ # ffl , !fflffl1  ) ,(, )ff,"# l sff% fffi u   u      fffi    u#suff \ E   EEE 123 (12.12) l fi *$  u    fi  u u*$#  su\ r  *$ 123  r r r (12.13) l fi  & u  R  #ffl    fi  *$ ff * u  % R  Rr r 123    r (12.14) l ffffiu$ffl% 123 123 EEE I Rr r r     (12.15) -ff-'*  s  n sui fffi  E    ff s & \ l fffi  u % E n  E1 l fi *$ % u 1 r  nr l ffffiu$ffl% 1 1 nE I R nr   (12.16) ffl , !fflffl2  ) ,(, )ffffl)" l sff% fffi u   u  ()u i (# ffffiu s ) (# ffffiu# su  #t$fl   fl ! 1 23 E EE  ( ) l fffi  u 1 23 EE E E   ( ) (12.17) l fi  & u *$ % r  *$ 123  r r r (12.18) l fi  & u  v ffl R  Rr r 123    r (12.19) E1 E2 E3 R 1 r 2r 3r - + + - + - I 12.7 E1 E2 E3 R I 1 r 2r 3r + - + - + -  12.6 2_TB Physics M6.pdf 106 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


102 l ffffiuff$ ffl% 1 23 123 E EE ( ) I Rr r r     (12.20) -ff-'*  s  n sui fffi  E   i fi *$ u r    ff $ u x su )s uv\ l fffi  u % 1 E nx   ( )E l fi *$ % u 1 r  nr l ffffiu$ffl 1 1 ( ) n xE I R nr    (12.21) (ff(  5*  ffl) fi u   u R  12 s u 3    s fffi  u  fi  5 V ff fi *$ u  fi 1   12.8\ ffl ' flfi  & u  $ffl ff ffffiu  ff  ffl \ " ffl+*) ffi(  %u R  12 123 EEE  5 V 123 r    r r 1 ' fl% R  ?  , I  ? l ' fl R % $' s ffi u % R rrr   123 R ff fi$ffi  %u R   1 1 1 12 15 l ' fl I % $' s ffi u % i i E I R r   123 123 EEE I Rr r r     ff fi$ffi  %u 555 5 0,33 A 12 1 1 1 15 I      4.2. ff( ,( ,(, )ff+ !*ff  s sufffflffi u / ffiffi*s u  fffi  E   ff fi   u *$su r        12.9\ R  12.8 1 5V 5V 5V 1 1 R 1 1 1 I E1 E2 E3 - + + + - - R E,r E,r  12.9 E,r I 2_TB Physics M6.pdf 107 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


103 l fffi  u   fffi  #ff   s EE E E  123 l fi *$ & u % 123 1111 rrr r  (12.22) " u n su fl! n ff" fi *$ & u ff 1 111 ... n r rrr r   (12.23) l ffffiu$ffl% nE I r nR   (12.24) 4.3. ff( ,( ,(, )ff+ !  ffi/ ffiffi*  s su  fffi  E    ff fi *$ u r #ff fi s   \ l fffi  u v    #ffff"% 1 2 E E EE     2E l fi *$  u       fi *$# u su2$ff  ff"  u %u 1 2 r   r r 2r  l fi *$ u v% 1111 3 2 2222 3 r r r rrrr   l ffffiu$ffl% 2 2 3 E I r R   -ff-'* "$ff u ff" su x s ff fflff" s v y ff" ffl % fffi u   E x   E i fi *$ u xr r y   ff ffffiu$ffl% xyE I Ry xr   R E,r E,r E,r E,r I  12.10 E,r E,r 2_TB Physics M6.pdf 108 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


104 ff,ff%+!% '/" 1. ffl #&ffifi    u u* u  fl  t  * *  fi   i  u  tu ff fi   ffl u *#  s \ 2. fi # u /u  fl* ff  ff$ ff ffi)ff$0 3. ffffiffiu fi    fi 10 ff i ffiu #ffi u 1  0,2mm ff ffiu 2 0,1mm ffl fi ( fi  #ffi ff u ffi u0 ff )& &ffi  ffiffi  uu\ 4. ffi ffffiut /  fi    i ffiuffi   d ff fi u R \ "u   u $flffi ff u ffi  ut /   ffiuffi   2d fi u R   ffl   ffi ffffi u u u $0 5. fffl ! t / ff   5m i u 2m ff ffi 0,2m "  ff fl!    fi    u $0 6. ffi s u A ff B  u  t      us $ffi \ ffi $fl ffffi u u I ff ffi  s  ffi\  ff       u  #ffi s u  12.11\ffl ' fl  ffi #fi ffl u *#  s ffi  \ 7. ffl ' flfi  $ u ffl     12.12 'fi (   ff u   fi  fi u 6Ω\ U(V) (m) B A 1 3 3 4 0  12.11  12.12 R3 R1 2 R4 R 2_TB Physics M6.pdf 109 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


105 8.  fflfi  u    12.13\ fi  ff u   fi fi ff u 12Ω. "  fi  u fi  $0 9.  fflut /)  u suffi   s fffi  8 V , 6 V ff fi $# u fi s      s i s$ffi fi  u 48Ω\ " u    s s( fi%  # s u $ffi   fl! $ffi  \ ff u ffffi  uff $  ffl 0,04 ff) s \ "u s s"  ffl u  ffffiuff  ffl $0 10. su 4    s fffi  u E ff fi $ u r      s fi  u 2Ω\ "u svfffiff#  t  fl  ffffiuff $ffl 1,5A  # ffffiu$   s&  a 2 1 I 1,5I b\ "  fi $# u suffl fi  $0  12.13 2_TB Physics M6.pdf 110 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


106 13    1.      uu     u  u E   fl u ffi r fflff  fi fl   u u R fflff   ! " ! # 13.1\ $  %   $ u fi  fl u a & % b,c,d fi e\     u$'   ( \  ! !ui fi ! u % a fl u  fflff \ $  $fi ff  ! u)# %fl*+  fi u  !  % a fi! u % a   \ $ !ui & fifi  ! u% a  !, a    $! # a 0 Uaa  b\  ! !ui ff +(-u Uaa ab bc d  UUU e fl  Uab  E . Ubc  Ir . U I de  R $!ui  $uffi  - () E IR Ir I R    r ,/ E I R r   (13.1)   1 uffl! ff  fl   u u R 5,2  fl ffi$  u  "   E  V5,1 fi  flffi u r 5,0  \  fi '  + $u  fi& ffi  u\   $'  "#-u R 5,2  . E  V5,1 . r 5,0  0,- I  ? ffi0$# u - R r E I   1,5 0,5A 2,5 0,5    2.   fl ffi fflfffiffl (Wheatstone’s Bridge)  u 1,), / ,/ ffi'fi, fl  u u+ fl   u u  "# u   u " ! # 13.2 R1 fi R2   fl u  "#u R E r a b c e d "# 13.1 uu I R E r 2_TB Physics M6.pdf 111 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


107  i R3 ! fl   u  fl0, u i R4  fl   u  ! fl u u\   $ ! ' S fi  fi u !  R4  fiu*  fl aAb 0 u 0 (I3 = 0b\ $!ui % d fi b fi ! u  !\ 'fi  ' abda - 13 21 0 IR IR   ,/ 13 21 IR I  R  1 1 2 3 I R I R  (13.2) 'fi  ' 2342 - 14 22 IR IR   0 ,/  1 2 2 4 I R I R  (13.3) (($& (13.2) fi (13.3) -u 1 2 3 4 R R R R  ,/ 1 3 2 4 R R R R  (13.4)  ffi00, fl u  u   "# u  u  + $' fl5 '(Wheatstone).  2  0,&fi fi  ! ufi,  % AB ffi  u " ! # 13.3.   $'  "#- " u #13.3 $  u ! ffi6  u 0,- AB U  ? ffi0$# u - AB 1 AB U  I R (1) l 0, AB R - fl  u R1 fl +ffl! R2 \ AB 1 2 AB 1 1 1 11 3 12 6 12 12 4 3 R RR R        l 0, I E r   12V; 0 A B 1 R  12 2 R  6 3 R  4 4 R  8 1I 2 I I "# 13.2 8 4 12 6 12V A B "# 13.3 2_TB Physics M6.pdf 112 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


108 ffi0$# u - E I R r   (2) l 0, R - fl  u RAB fl fi(! R3 - AB3 AB 3 R RR      448 fl  u RAB3 fl +ffl! R4 - AB3 4 1 1 1 11 2 4 88 8 R RR R          E, R fi r ffi$ (2) -u 12 3 4 0    I  l $ !  flu AB3 4 R R  8 \ $!ui  $u,/ + u  !\ 1 2 3 1,5A 2 2 I I I     1I fi RAB ffi$ (1) -u AB    U 1,5 4 6V 3.   ! (Kirchhoff’s Law)   (0 ffi0$  u fi !  '  u $ !$ i 1   !0 , $uffi     "  u   u fi   fl, u /! 0 '  ffi u  ! -u   1 )# +ffifflff ffi  u &  ff0+ $ ' u)+ #  !u $#\ 1 0 n i i I   (13.5) IIII 1234  0 ,/ III I 123 4  ff"#$% &   $u  + u,+  &!   $ u   +\   2 ffi  'ffifflff  &  ff0+ "  '   u   &!   ff0+& ' fi fi  ! u\ 1I 2 I 3 I 4 I o "#f7\8 2_TB Physics M6.pdf 113 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


109 , 1 1, 1 n m p i j k i jk E R I    (13.6) fl  $fl u   u flffl +   i   ' + flfiflffl  (Loop),   '+ $uffi flfi +  \ ffi   + $  u u '( ! ' +flffl  !  fi    !+  u !fi \ "   u E &fi' $ufl' +flffl afl'   $u  + u+ fi u +  + u !b  6  fi   +!  u   6fi \ u + $ u  'fi  u fi i $    '   &!u 'i '  fl u  '  +!  u ! '   u fi $   fl  fi u u \  3 ffi  u" ! # 13.5  1 E 12V . 2 15 V E  fi 123 22 RRRR     fi ' , $u 1 2  I I fi 3 I \   $'  "#-u 1 E 12V . 2 15 V E  123 22 RRRR    0,-  $u 1 2 I I  fi 3 I \ l $ ffi, %  $ u u 12 3 I I   I fiffi '" ! # 13.5\ ffi0$# u - 1 0 n i i I    %" A  123 III  0 (1) ffi0$# u - , 1 1, 1 n m p i j k i jk E R I    fl  ' 1: E IR I 13 1   R 1 3 1 E I R I R   (2) fl  ' 2:   E IR I 22 3R E1 A B 1 2 "# 13.5 E2 R3 R2 R1 1I 3 I 2 I 2_TB Physics M6.pdf 114 7/30/2015 3:08:39 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


110 3 2 2 IR E I R   (3)   1 2 I  I ffi$ (1) -u 13 3 2 3 0 E IR IR E I R R        1 2 33 3 0 E E II I R R    1 2 3 3 0 E E I R R   1 2 3 3 E E I R    (4)   1 2 E E; ;R ffi$ (4) -u 3 12 15 27 9 3 22 66 22 I        3 I ffi$ (2) -u 1 12 9 12 9 3 A 22 22 22 22 I        3 I ffi$ (3) -u 2 9 15 6 3 A 22 22 22 11      I ,!    $u 2 I !fi  $    '   &!u 'i '  fl u  '  +!  u ! '   u fi $   fl  fi u u \ fl &' ("% )ffl#* 1. uu  ffi9 2. ' fi    fl  fl  ffi9 ! 3.   ffi u  (0 1 fi 2\ 4. ffi,$ ! u  fl"# 13.6\  0,  flfi fi, u  AB fi  flu fi,  CD    ffi9 5. u" ! # 13.7\  fi ' , $ u fi&  ffi  \ 6 4 4 4 8 8 12V "# 13.7 1 3 2 6 A 9 B "# 13.6 D C 2_TB Physics M6.pdf 115 7/30/2015 3:08:40 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


111 6. uffl! ff   fl u  u 12 fi   u V9,V3 fi  flffi u 5,1,1 flfi   ! " ! # 13.8.  0, $u  fi& ffi  \ 7.  fi '  $ u  fi& ffi  "# 13.9- 8.   $ ' ufi fi  $u  fi& ffi fl fi  "# 13.10\ 9.  ' fi $ u  fi&  fl fi ffi  "# 13.11: 100 200 V5,1 V9 1 J 2 J "# 13.10 12 68 5 30 100V 5 5 "# 13.9 2 2 E ;r R "# 13.8 1 1 E ;r 100 3V "# 13.11 200 300 4V 2_TB Physics M6.pdf 116 7/30/2015 3:08:40 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


112   14. *(&fi # -  1. !" *ffl (Galvanometer) !" *ffl *   *(&fi # -   fi" %!"  # )  " 2&#   *$&  1 .  !"   *ffl : 0 2$   #   !ffi& *% &  #2%!" *   2$% !"  & !"   2  *%&  *ffl *( &fi -  (fi)   & / 14.1. fi #+fi $  1- $1 %& 3 & / !     # & ! & ffi . & 2. fi*ffl (Ammeter) fi*ffl 2   (" *%     #   2"'fi   ffl&) ! " 'fi#   & / 14.2. 0   # ffi fi & *ffl $1 * #'*   2$  2 )  fi*ffl fi ! #4  .  fi  *ffl . 0 ffl fi  (" *%     #   & / *ff& fflfi   *ff  & *(&fiffl -   " ffl  &) %+   . *(  &fiffl -   &   ffl ) &) %+ *fi  " “* &  (shunt)” *ff&- fi2$  #   " + & & #  & shunt. 2 / 14.3 2$Ig   # &  & ffi  ! & " *ffl !  "*   2$*%  &* +  ,  IS   & # &  #ffi * & , RS (" ffl & %fi  *  &*fi  ffl&) 2 *ff& &- fi* 2$ "    #   #$ 1  * fl &   I , Rg (" ffl & %fi  !" *ffl , '  fl A ! B '& fl & ffl&) * 2 & ! I   # &  !"& fflfi "   .  I A B g I I s I Rg Rs / 14.3 fi*ffl  G Shunt G ammeter / 14.2  2 fi  *ffl  G / 14.1  !" *ffl  !  %fi !"  *ffl  2_TB Physics M6.pdf 117 7/30/2015 3:08:40 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


113   # & fflfi    : g s I   I I (14.1)  fi $ (" ffl %fi*  : g g gg S s g I R IR R I I I    (14.2)  fi $ (" ffl *  & 111 g s g s gs R R R R R R RR      ffi! !  #   !$"  fi' &  fl AB: ABR R g s UUU   (14.3) ffl  * fi%#  :   gg ss I R I R IR   ( ) g s g s R R I R R   ( ) (1 ) g g S g g S S I RR R I I R R     (14.4) 3 2$ g I  I 'fflfi   Rs <<Rg . ffl"3  & 1: *(&fi fi - *( ) &fi+ - & (" ffl   40% . *&fi  # -  1/1001 A *% *(&fi fi# - 1 %. 0 "  '* &  "2 2$ *(&fi ( -  # &  1A 3/2+ & & %.    :  & & /:  40 Rg  % ; 1 A 1001 g I  ; I 1A fi $ : ? RS   2 ) /  : g g ss I R IR  * &" & g ss g I    I I I II ( 2 & #& :  ( ) g g gs I R IIR   1 40 1001 0,04 1 1 1001 g g s g I R R I I    %   " ffl & fi "  0 fl& (" ffl   0,04% "(  # &  1A 3/& 1 %.  I g Is I G Rg S R 2_TB Physics M6.pdf 118 7/30/2015 3:08:40 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


114 3. "*ffl (Voltmeter) "*ffl 2   ffi  ! !  #   !$"  & fi%"%fi*(  &fi2 - #   2"'fi#    ffl&) %+  " 'fi#   &  / 14.4. "  *ffl : *ff&- fi* 2$"   *fflfi ( & ffi& ! !  #   #$ 1 %ffl fi*ff  &  (" ffl 2  ffl& &- " ffl  &) !  !"    *ffl. *0  " '*ff & & (" ffl 2  & ffl *% )     *ffl  +   * & *   & / 14.5.  U U IR À©ó´  g g g U UUU ÃÏÈ  v gs  ( ) g v gg s I R IR R       Rv gs   R R   (14.5) v s g g U R R I    (14.6) Rg (" ffl %fi !"   *ffl ,  g I  # * & ffi  !"  & *ffl .  Rs (" ffl #   %fi*(&fiffl -   &*fi  ffl&) !*ff& fi ;  RV (" ffl   *& %fi"*ffl ;  Ug ffi! !  #   %fi !" *ffl ;  Uv ffi! !  #   %fi"*ffl 4 ;  Us ffi! !  #   *(&fiffl -   & ffl&) 2 ffl& &. - ffl"3  & 2: *(&fi "fi - + & (" ffl  #   1000% !  # ! & ffi  & 50A. 0 " & fiffl & &) *(&fiffl - *ff  & 2   ffi & ! !  #    / * fl & 2 ! ffl&) *(&fiffl - *ff  & 2 fi&  "(  *& & 2 *ff&- fi' ffi  !!  #   V15 .   :  & & /:  Rg 1000% ; I g  50A A1050 6  ; UÃÏÈ 15V fi $ :  ? Ug ;  ? Rx   2 ) /  : U U IR À©ó´  g g g   UÀ©´ó 6 50 10 1000 0,05 V   / 14.5 "*ffl  g I Rs Rg Uv Rs G g I Rx G g I Rg / 14.4  2 "  *ffl  2_TB Physics M6.pdf 119 7/30/2015 3:08:40 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


115   2 ) /  : U U IR ÃÏÈ  g g x 2 6 15 5 10 299k 50 10 g x g U U R I        % ÃÏÈ 4. fi*ffl (Ohmmeter) 2ffi  ff" * &  fi $ ( *( & &fiffl -  " fi  ( & %fi0 & .   , *ff  &- fi("  " , ("  *', *ff  & 2 fi  *ffl  (  & (" ffl   &  &) (/   & & / 14.6 ( ("  & ffl   &*%  fi *  + '  ) (& (" ffl & '   &  #.  fi  *ffl :  *ff&  !"   *ffl 2$*  fi*ffl *   # " ffl&) *(&fiffl -   & ( # & ( R0 ) 2 &  &) #       & & / 14.6. 'fl A ! B '& fl & ffl&) !$" fi & *ffl  Rx  Rx (" ffl &   &  &)  (/  $ & 1- (" ffl   &* fflfi  .   0  Rx ( $& 1   # 2"'fi'+  fi *%  fi+fi.   0  Rx ( & fi  # 2"'fi$  1  *%  fi$1 . 2' fl    !"   *ffl 2$ *  fi*ffl , "  *ffl ! fi   *ffl2*(  &fi" - *fi  " :  & !ffl  *ffl (Multimeter). & / 14.7.  fi  !fi  ~ !ffl  *ffl   'fi!  !ffl  *ffl  / 14.7 !ffl  *ffl  "'fi  !ffl  *ffl  Ohm mA+V R2 R1 100 mA 10 mA 1 V 10 V Ohm R0 R3 R4 Rx / 14.6 fi*ffl  G A B Ohmmeter R0 Rx G G 2_TB Physics M6.pdf 120 7/30/2015 3:08:40 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


116 ( 0  !  ) *{  $  1. * $ *ff  & '&ffl &) (" ffl   fi2 ) *(& &fi fi - , " ! fi?. ) 2. * $*"!  (" ffl  ffl  fi*fi    *(&fi  -  fi%fifi  *ffl      fi? & 3. 0 *%  %fi*(&fi  - &) &*! - 0 fflfi*   "2? 4. !" *ffl *( &fi+ - & (" ffl    10% (  # &   / %fi !"  fl  *ffl* &   500mA . 0 ffl fi   *   fi*ffl 2   (" *%     #   / fl 2A 'fflfi*   "2? 5. !" *ffl *( &fi+ - & (" ffl    10% (  # &   / %fi !"  fl  *ffl* &   500mA . 0 ffl fi   *   "*ffl 2   ffi  ! !     / fl 100V 'fflfi*   "2? 6. *ff&- fi  # & (" *%   !$"   &  A100 . *ff& 2 *( &fi fi - fi )   +& & (" ffl  ff 2%fi  *fi  10% . ' & ) (" ffl    fi  ) & ' ffl&) 2 *(& &fi # -   *ff  &- fi2$  #   !ffi& # & /   fl ,5A2 . 7. *(&fi fi - fi ) + & (" ffl    5% *&fi-  #   15mA !ffi&  & *%  ( &  / . 0 fl ffl fi 2$  *( &fi  - ( &  / fl 1,5A 'fflfiffl  &) (" ffl  # & ( *& & 22 & *(  &fi ? - 8. *(&fi fi - fi ) + & &  #   #    / fl 50  fi   * ) &fi- *fi (" ffl #   119000%  ffl&) * "'fi  *(  &fi " ! - "     #ffi ! !  #    / fl 6V. 0 ffl fi   & *(&fi "* -  *(&fi-  fi  *ff ) &- fi  # # /   fl 50 ! fi  'ffl ) fiffl  &) (" ffl #   2 & ( *& & 2 ffl&) 2 *(& &fi fi - . ) 2_TB Physics M6.pdf 121 7/30/2015 3:08:40 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


117 ff15fl  % %     1. # !    % ff ff      6<O^Z S9 CNeD] ? ?B]Z[_9B@^@IQAO@m > BQ= 9 R9 6@OQ= S9 OQ< ? eZ8 [ 9QCB6@R F]8 ?BaPR9 ]?Bb J89 ^Z?_>@7P7NF > P]L ?B7NZIBQ 9 2 D >?@YOQIQAO@=NZ > [OF6I7B\ 6`L9@: pR? ]6ML@P R9 ]?B`N@FoG h9 QJ89 M9W@N7QQB@JBQ6X< L ]M6M 8 L@N7QQB@] L ?B\ ^@kVP 15.1, Y >?I a 6ML@YIP >? IC e7N Y >?I b 6ML@YI7 >? PYOQP > R9 ]?BO@oL h9 Q\ 6I7B J89 U LQP R9]F6O? >B]M=R9 C LPIQAO@] > ?B^FK6O8?@ I 9B PR9 ]?Bm^@I V9 QAO@6M > 8F\ 7NFP]L ?B mV9AEF a DVQCIB7NF 9 P]L ?BmV9AEF b DN6p8\ F L9Q@@i A L? Q< h9 8J>9Q]?BDNHGF Ee  B^Z6C? 8F CB@6X S9 O@J 89YOQ]?BP@AL E mV9BU^@PR9 ]?B jFU]?BP@AL PIC6X E O@J S9 89 ABC a ]MZB b D 9I@]?BP@AL E7 >P AN6X S9 O@J 89 ABC b ]M \ CB@6X S9 O@J 89YOQ]?BP@AL E 6ML@6` L9 @@67 8? S? OUKDFJE BUC ? 6kR LF^Z7NF ? P]L ?BmV9AEF a e7N b 6J >9 BCL@ e=^@= 9 IA> QPG R9 6ML@e@I@@ 6 L? BNIB U 9 Q<L 8_>@7P7NF > P]L ?B7NZIBQD 9 >?@ a e7N b =NZ[OF 6I7B DB6ZF6ML@6` L9 @@8? U?O@IB P 9 R9 ]?B]F?D?BQJQ]>9 ?BOCePPo 8 h9 Q6O@I 8? 9B: J>9Q]?BP R9 DN HGF En  6CF Y 8 @^@P h? R7G6I@FWIC@CL PJL Q]>9 ?BDNHGF Ee  e=9<8JGFCQC> @YL B<C ? @\ L D RB7PJL Q]>9 ?BDNHF<G :8 ; F qE e e   6`G9 Q Fe  e<@XIB<ekQ] 9 ?BDNHF\ G D RB7PJL Q]>9 ?BP R9 DNHGF: ; F qE n n   6`G9 Q Fn  e<@XIB<ekQ] 9 ?BP R9 DNHF\ G 6<OP S9 R9 ]?Bm^@I V9 QAO@6M > 8Fi ]?BP@AL EJLQpFANm > ^@V9 BINF@FE WQ aP 9 R9 <8CB@ 6XO@J S9 89b\ DN@@i XIB<6Y L? L?<CNeD]?B6J >9 BCPDL @\ V 0 E E e n   Z[S E E e  n   Z[S I 0 6@OQABCI S9 B_9 @7> P7NF > P]L ?B6J >9 BCPekQQB@] L ?B= R9 1 Z>IoIU ] 9 ?BP@AL E ^@JQ]>9 ?B ba e ab W F S U q q (15.1) S e<@]7UNZ 9 BQ7NZI 9 BQ9 2 AEF a e7N b\   a b Ee  En  kVP 15.1 DNeFQJGFJBQYOQJQ]>9 ?BDNHGF e7N JQ]>9 ?BPR9DNHFJG 896CFABCP 8 R9 ]?B 2_TB Physics M6.pdf 122 7/30/2015 3:08:40 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


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127 ^Z?n e<@XIB< 9 Be@YOQ6O67 ? LC=nQ6D7 > 8cZ[S AB@I@6O67  LC=nQ6D7 > 8=9h9 Q Z>IIUP 9 7G<BFYOQDBU@B] ?B; v e<@XIB<]ICB@6X 9 O@J S9 89 <8JGFYOQ6O67LC=n>Q 6D78e7N e 6ML@]?BP@AL YOQ6O67 E LC=nQ6D7 > 8; F L9QDNeFQ^@kVP 16.6. =B<kVP 16.6 D ><<FIE 9BBU^@6I7B t ^F h9 QcAB@I@6O67  LC=nQ6D7 > 86X S9 O@J 89 _9B@6@OJ S? 89 B=? LF A YOQDBU@B] ?BcZ[ScAB@I@6O67  LC=nQ6D7 > 8^@DBU@B] ?BJ 89 <8P7G<BF V 6J >9 BCLP nlA Z[SnvtA6 F L9Q@L?@; MN7G<B@]?BP@AL E Q YOQ6O67LC=n>Q 6D78^@AB@I@  nvtA = >I6J >9 BCLP6 Q = envtA (16.2) e7NcDVF (16.2) CYW@]F  ?F L9Q@6 8? envtA I envA t = = (16.3) 4 fl   %%fl $  % !  4.1  fiff ! fffifl  %%fl $  % !  ^@YN@NJ89CNeD]?BCB7 Q6XL O@J S9 89]M=B<7IQce7NcJGF^F h9 QJ 89 e@9 @O@BU^@IFHL E@B] ?B; P L@FB6O67LC=nQ6D7 > 8AN]M=BC PPL @FBO L 8O >QPICYOQ j7ZN^@DBU@B] ?BcZ[Sc6I >? BOCePP 8  h9 QCXSP L  @FBO8O >QYOQj7ZN^@DBU@B] ?B ]F?=9 =?  B@CB@6XO@J S9 89 YOQP@FL B6O67LC=nQ6D7 > 86 CB@=BC @^@e= L 7NX 9 Q7NZI L? BQO 9 8 O >QPICCP 6O67 L LC=nQ6D7 > 86kLF^Z6O67 ? LC=nQ6D7 > 8AND@6DU V N7QQB@Z L [BUD >< XI@^Z?C LPO8O >QPIC6 6<O]F S9 ?k LPN7QQB@6 L  89 <CB@D@]CIYOQP L9 @FBO L 8O >QCANekQ  Yh?@CIB6C 9 >9 B; 6kLF^Z?I LFHE@B] ?BkO@? Yh?@6 DN@L?@; 6<O< S9 CNeD] 8 ?B]Z[_9B@DBU @B] ?BAQ6k h9 LF^ZDBU@ ? B] ?BkO@Y ? h?@6 4.2 fl   & ! fi'  6@OQABCI S9 Bj7ZN= 9 BQ`N@ 9 FAN< G jXQD 8 BQ? BQ<N@ 9 8= 9BQC@ce7N XIB< L Be@YOQ6O67 ? LC=nQ6D7 > 8aAB@I@6O67  LC=nQ6D7 > 8=9 h9 QZ>IIUP 9 7G<BFb CAN = 9BQCL@; 6kLF^ZXIB<DB<BF^@CB@= ? 9 =?  B@ aCFYIBQb CB@6X 8 S9 O@J89 O L@<8JGFJBQ YOQ6O67LC=nQ6D7 > 8^@j7ZN`N@F=G BQC 9 @e=C= L BQC 9 L@6 F L9Q@L?@; j7ZN`N@F=G BQ9 C L@AQ< h9 XIB<= 8 B@] ? ?BAB6 BN=BQC 9 L@6 4.3 fl    ffl( ) ff'* 6<OO S9 @ZN E <6 V  89 <DQYV h?@; CB@D@]CIYOQP L9 @FBO L 8O >QCUG9  QekQce7N XIB<]IDN67UCB@6X 9 S9 O@J 89 YOQ6O67LC=nQ6D7 > 8C6 89 <Y@c6k h? LF^ZCB@= ? BC @7N L 2_TB Physics M6.pdf 132 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


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129   17.     1                   A  B flffifflfffffi !"  # ffi $ff          flfl  ffii ffl ff      fi    fi!"# $    %!  fi &'   fi    % a"%b " fi  fi ( ff i   ff$fl 17.1,"    ))   &    *fi  )fi+%",-- &' i  "   ",-- fi  " ff  ,-- )fi  '   \ ",--  fi fi )' " fifi   fi fi  ",-- ff " ff ,--    fi  ff,--  ff \ !"""     fi  fi   ,-- ff (Thermo couple)\  ))  ",-- ff)  ' fl  )." *"   fi    " )' fl"  fl(  ffi "# ! " $   ! )     a  ff "   /b\ "fl(  ffi "# ! $  %   ffl% )  ",-- ff % fi )$  '   \    i ff,--   fi # fi ) " ' fl(  ffi "# ! /$ $ fl   \ fl ffi  10   "# ! /$  $   fi   a  ff "   /b ( ffi   100 C i ff,--  ff) ,-- ff fi ff%."fl fi"! aBib " " fiflfiaSbb   fl 11mVi   ff,--  ff) ,-- ff fi ff%." aCub " .-1 aWb   fl 4mV\ • • ° ° ° ° ° ° °   ff   / A B mA ff$fl 17.1. "fl) ,--  2_TB Physics M6.pdf 134 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


130 2   ffl        # "."  fi ff% *"   A " B fi      \   ."   && fi   1   i   ! A n && )  1."  A " B n  &&  1  2 ! B\   ! A B n > n i  " flff   i   1  fi." A "  fi ,." B "  1  fi." B    fi , Ai    1  fifi %  % A , B " ffl%  fi %  % B , Ai ff ." B ffl  1  2 ,--  fl ! fli     A fi 1fl # a)  1b ' 2,--  fl fl ! " /$ fl  "   ." A " B ' fi fi ,-- fi fi  A , Bi   ff$fl 17.2\  fi /$ " ."   fi fi(fl "fl,--  ) '  fi  (  fl"  fl,--   "\ (fl"  fl,--   ") ' fl  )."  "      "# ! /$  $  a" ff   "  /  b ) ff ,-- \   !"#/$ fl $       aT T 1 2 = bi "fl,--  / $      fi     fi  +% )  i ffff ,--   ff   fi   $i +%fl fi",--   \   "# ! /$ fl $      aT T 1 2 ≠ bi "fl,--  / $      fi   i ff,--   ff fi   fl(  fl"  fl,--    "/fl $       fi fi A B + + - - ff$fl 17.2.  ),--  /$       )." A " B A B A + - +- ff$fl 17.3\ " fi fl,--   "/ $ fl   "  ." A " B  ) 2_TB Physics M6.pdf 135 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


131 ",-- ff) ' i   ff$fl 17.3\ ff,--  ff   ff,-- ,  $ fi 0 2 1 (-) ln A B kT T n E e n = (17.1) fi 1 2 T , T  "# ! /$  $ )  ff,--  , A B n n &&   1  fi." A " B  fl\ 23 k 1,38 10 J/K − = ×  .fl" aBoltzmannb\ 3   ffl fffi !    l ff  ,--  ) ,-- ff*  ' fi ."#ffi &' $  fi % ffl%\    i   ff ,--  fi fi  $ i ' *  fi ffl%flflffi $   +\ l   ( fl"  fl,--   "/ $      &' ) ,-- ff)  ' fl "# ! $\ 2 ff$  ( fl"  fl,--   ""   " ! #$\    i  ,-- ff  ' *  " !  "# ! $i   ff$fl 16.8 ffl "  1\ ",-- ff % 3 2\  )ff,--  ff)  ' fl ,%    3 3\   " fl% ff fi ,--  ff % " fi  1\ mV A B ff$fl 16.8\ " "# ! ) $  ffl."fi ff% ff,--  2_TB Physics M6.pdf 136 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


132   18.  # 2 "*( #  1.   "  *( #  !fi:  . fi fi fl !fi fi  "  fi0 &  & 2 ,  & &) #    1 &) , *(&fi fi -  ( ) Ampere meter) 1 *(&fi, # -  ' "+ ) &  ! 0' fl *)  &-fi* & &  *)  &-fifi  fl fi (Cuso4) +& fi.  %. ffl&)fi0 & 2 & & &) #   ! *(  &fi fi - ) " #   & / 18.1.' ' fl& fi0 &  &  fi  !20  ' fl *)  &-fi & / 18.2*"! '    * *$" *% &  %fi*(&fi fi -  ) &)  *(  &fi - *+,  "  &  &)  #   !2& " 'fi $1- *" fi +  &  () - )  & &)  # )  . (. *&fi*fi -  * fi ffl - ! 1 ) !"  (NaCl) $1- * fi  - fi & - ! 2  )  , *"!  & *%  %fi*(&fi - fi  ) *(  &fi*+ - !"  2  (& 2+ & & , " & 2"'fi#  *    #   .      & " 2$ & *$ "  * & fi! - ! , fi ,  * , ... *     # )  . 0 *    !fi2!  "   ffl  & &  * fi!!  * -   ! !  / fi (Cuso4), fi ' '*   #   !2" & 'fi!  " (* & * #  ' *(  &fi fi - ),  )   * *$   fi 5fi3  %& / "#   !  (%" ffl).       & "*fi & "  &  "  *( #  ! fi  fl fi *fi  "  & "*( #  . 2.  %fi  #   2 "*( #  ffl     , *  &fi*fi -  * fi, fi - ,  * !! 2  *! )  %fi fl      & "' * &  fifi (  ion) 0*(- &fi4 ffl -  & *  &: *! %fi fl * fi - (NaCl)  * fifi"  Na ! fifi!   Cl  &* *fi ! ffl&) . /18.2.   "  *( #  %""  %"!   +  A ) ) )    +  A /18.1. "'fi  !fi  fi0 &  & 2_TB Physics M6.pdf 137 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


133 ff $1 *   fifi!  ",   fi *(  &fi - & 3  & !"  %fi   fi  fi; fi  fi " ! fifi!  '  "+ ) & 'ffl ) !  " !"ffl  "  *%   * *! ' "# fl  $1- -(. - !)  !!    2+ & * & !   & ' ) , 3  2fi & / $ fl fffl& fi2+ & &  ' "*! ) fl & 0   - (  & fi2+ & &  ! 2*"!  *!  fl & 0  * - & 2& *!  fl -(* - & .  *"! &) &#   2  & , *(&fi - & 3  & !"  %fi   fi  fi & fi("   fiff3  ", ' & & &) &2$) *    #   %2 !!   . *&fi- 'fl fi & fi0 &  &  fi  &2 *  %"#   !2 !! , !$"   & fi0 &  &  ffi! !  #   ! 2 !! &#   .  fi  fi* &fi0- ("  - #  2  & ,  fi  fi" *  & Na *(&fi - &#ffl !" !  %fi& # (#$ % - "!  (%  " ffl).  "fi & fi!  *  &: Cl  *(&fi - &#ffl !" %fi&#   ffl&     %    &#   #$ %"" (%  "fi ).   *(&fi - &* & !" !    fi  fi%fi &  fi  fi fi*     # 2  "*( #  .  # 2 "*( #    *( & &fi -   & !" !     & fi%fi &  fi  fi" ffl   %fi&#   ! %fi fi  fi! ffl       %    %fi&#   . *&fi' " - * & &fifi- $ff fl / & , ' / "*! ) 2 " fl *( #  & 0 -  * fifi  ) &$ 1 . & , !   # )  %fi "*( #  ) &  $ / 1- (" ffl #   %fi "*( #  ) &+ fi.  3. ffl !  fi2 )  "  *( #  2%&  fi  fi*( &fi - #$ %  "#   ,  fi  fi*$ & 1 #   & fi#  ' 2$fl  %& "#   . 4 (" "  &  fi  fi! '  & fi*fi*! ffl2$   %& " fi , "fi & fi" '  *fi   *fi*! ffl' %  " ffl!  " *   fi ffl $1- *! ' "# fl  .  fi ffl $1- *! ' "# fl  &* % 24  3/ & 2ffl & !& %"#   ' "+ ) & 'ffl3 & / % "#   , ' "+ ) & !*$ fifi #' fi " & *( # ! fi ' "+ ) & ffl !  % "#   $1- ffl !   "  2_TB Physics M6.pdf 138 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


134 *( # * ffl !  *(24 & . ffl !  *(&* % 24  & *fi  "  & ffl !  fi. ) ffl !  fi ) ffl  ! "'*   ffl !  &   *ff   %   $ 1 #'*  &: %     %fi   &2 *  %"#   , %   "  *( # ! %  *  &fi#%fi - &$- 1 3 . & 4.   %  "" $    ffi    ! ) ffl  !  fi ) &* % *  &fi2 -  Cuso4 *  "*(  # ! 2 fi  Cu * %"fi , *ff  & #  * *$  " * & &fi-  #   !ffi&  " & *( #   fi  fi" %fifi  Cu *(&fi - #$ %  "  ffl ! fififfl  !ffl & "'  *fi   *fi*! ffl fiffl  "!  " *   fi fflfiffl 3/ & % " ffl,  "fi & fi! %fi  4 so *(&fi - #$ %  "fi  !  "*  ffl  !  fi fflfi  Cu 3/%& "fi  *   *! %fi fl Cuso4 '   0) - !! 2 !! !. ffi  fl %  "fi   &* "fi#  ( fi5$ &  *% , ffl &   % 3  & / & %" ffl  fi '  *ff & $1 %*!  fi5. 4 (" " - &  #  %  0 fi' % & "fi #$ %  " ffl.       & "*fi & "  &  %  "" $  .   ff  "ff !$"    # &  I & !ffi&  " & *( #   ffi! !  #   3 fi & / % "#   ff" * & &fi* -    %  "" $  ("   *%   #   I %  ffi ! !  #   U. & ,  #   2 " *( # '&*   #ffl  * fi.  5. *   # (  Faraday’ Law)  ( . 1834,   (  fi    & -    # # & ( ("  ff  "ff !  $" ! &  # ' fl& !ffi&  " & *( #  " %fi!$  & ffl 3/%& " ffl%fi*(  &fi" - *( #  !" $  fl 1*  * #"   & :  " %fi &  & fififi 3ffl& / !% & "#   %fi*(&fi" - *( #  *  fiffl  "ff & "ff     !     (M/n) ! !  # ' (fl q) & !& ffi  " & *( #   & " & .  2_TB Physics M6.pdf 139 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


135 M mk q n     (18.1) 2M " fi ffl; & n (& *( & (' "*fi*! )  ffl!  & ); k '& " fifi ) ffl  ",  & & 1 F 96500C/mol k   *fi" & ' "( ) (   #. & & ,  / (18.1) %24#& *   1 M m q F n    1 1 96500 M M m It It Fn n     (18.2) 2I (" *% &    #   & !ffi& *( & &fi" - *( #  ; t & #!*"! &  # !ffi& *( & &fi" - *( #  . ffl"3  & 1: *(&fi" - *( #  fi+ & '  !!  fl ffl *   AgNo3 . fi  %fi*(&fi" - *(    & "* &  "*  , (" ffl #   %fi*(&fi" - *( # R  %2 , ffi! !  #   !$"  fi% & "%fi*(  &fi" - *( # U 10V . '(& #! " %fi* &  &#ffl3 %& / " ffl,  *&fi2$ -  #   !ffi& *( & &fi" - *( #  ff 2*"! 2 &".  "  :  2$/  :  M = 108g/mol ! n = 1  2 ) /  : 1 M m It F n  - (" *%   #   & !ffi& *( & &fi" - *( #  (#! ffl  & : / 10 5A 2 U I R   - " %fi* & ffl3 %& / " ffl(  #! ' & : / 1 1 108 5 7200 40,3g 96500 1 M m It F n    6. # 'fl%fifi  fi  ffl  / (18.2), *ff&- fi3  & fi (g) M n %fi 2+& ffl& fi !   # q = F *(&fi - & ffi *( & &fi" - *( #  . 0 ffl fi    & fi 2 2_TB Physics M6.pdf 140 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


136 +& ' " ) M (g) ffl& fi !   # nF n  96500 *(&fi - & ffi *( & &fi- "*( #  . !  #  & " & & '! "  &() ffi-" #   ' fl%fi fi   fi & 3/ 2  &  & " &  & !ffi& *( & &fi" - *( #  . *&fi' " - & M (g) %fi 2+ / &  ' "fi ffl* ) & ' "fi ) "  23 N  6,023 10 fi ffl/mol . & ,  (  #! # &  ' %fi fl ffl!fi & fi & ( *( & * &   1 (n=1) # & :   19 0 23 96500 1,6 10 C 6,023 10 F q N    ( & 19 0 q 1,6 10 C   %+ # &  ' fl/0  $1- (& # &  ' fl %fi*fi*! ffl  19 e 1,6 10 C   . ' ,   $  fl 1#3  &  " & # &  ' %fifi fl fi & ( *( & * & 2  & 2e , fifi & ( *( & * & 3  & 3e ,… & ,  !   # %fi fi  fi2 !! %fi*(  &fi" - *( #  *& ' "0 ) "*  &- fi%fi# ' fl/ ". & 7.  2 )    "  *( #  7.1.     2 )    %  "" $   *ff  &    !$ %fi 2+  & fifi ' %fi & #  . ffl "3  0 & ffl fi    fififi ' fi  * & & fi  3 ( & / fi & ),  *ff& ffl&) %"" %fi  &) # 2 &   fi  &  & "*ff & &- fi* * %"fi %fi*(  &fi" - *( # , "% & "! %fi  &) # ffl&) 2 %& "   ffl%fi*(&fi" - *( #  ! 2   !!  / fi Cuso4 *  "*( #  . *&fi- & fi2$  #   !ffi& *( & &fi" - *( #  , fi2 & fi'0   fifi  ! - "#ffl  3 & / %" ffl (%  "! ) %fi*(  &fi" - *( #  ,  2 & /18.3. 7.2. *(fi!$ -  2 )    "  *( #  *(fi!$  - & *fi)  !$& fflfi   *(fi2 - *  %" ffl, *fi   !$& '2 *   *( fi* -  %"fi %fi*(  &fi" - *( # ! 2  !! *  fi!$ - &*  *( fi* -   "*( #  . CuSo4 fi  & fi)! fl  / 18.3 2_TB Physics M6.pdf 141 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


137 ffl"3  & 2: *ff&- fi*(fi - "*$ &  1 "*   *ff & 2  * &  *    %"fi , 2   "*$ &  1 * %" ffl ! 2     !! ffl *   AgNo3 *  "*( #  %fi *(&fi" - *( #  , & / 18.4. 7.3. $&1) / "!$  $&1) / "!$  *)    2 )    "  *(  # & %fflfiffl   ( (  - *(  fi!$ ffl - & %" ffl  5 & & :  ) fi*ff &  "/ 0 fl& fflfi $  &1) "%  *ffi   $1- ""  0 fl&   *fi & " :  & *   $&1) . $1'   2  0  (   & )  *   52$   &"+ %fi*   *ff&- fi2$*  "0 fl ) # !"2  *  %" ffl%fi*(  &fi" - *( #  . *fi !$& fflfi $  &1) / 2 *  %"fi  ! 2   !! *  fi%fi!$ - & '$&1) * / *    " *( # . *&fiffl- &) fi%"%fi*(  &fi" - *( #  2 &  &) #  , !$  &2  * %"fi '$  *%   !"#fi2  %& " ffl (*   $&1) ). *&fi - !$  &fi* $&1)+ %*0  !  & fflfi !  "' & fifi ' *(  &fi" - *( #  , $1'     ) %*ffi   $1- "0 fl& *   * $&1) fifi '# ) /  ffl   & fflfi .  ( 0  !  ) *{  $  1.  "*( #  $ & ?  2.  %fi$ #   2 "*( #  $ & ?  3.   $  3  %& / "" %fi*(  &fi" - *( #  * % #  "2?  4. *   #  " &    "  *( #  * fi2"2? - 5. *(&fi" - *( #  fi+ & %"" *   "   , %  "! *   "!$   *fi- &4   2 30cm . *&fi2$ -  #   !ffi& *( & &fi" - *( #   & "ff  & 2*"! 30  ,  " &  #$  3fl %& / "! +  0,05 mm. '(& #! & (" *%   #   & !ffi& *( & &fi" - *( #  , "/   &   " '  ) *ff *& 3 3 *  8,9 10 kg/m , " fi ffl  M=58 ! ( *( & n=2. * &  No2 Ag / 18.4 2_TB Physics M6.pdf 142 7/30/2015 3:08:41 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


138  19.   1  l !""fl  %     ,--fi*  ,--  i   .  "2 i %,-- " fl%,--\ l   %))    ,--   fl ."2    ,--  ) ,--    i )  )  ."2 "*fl fi (  fl"  fl,--  (   ,--  " 4' " *fi   fi/$  "  ffl,i  ff $fl 19.1.    *fi             ,- "ffiffl 90 ( /" $ (      ,--  ff )  ' i )).  "2"5 $ ffl!  * fi    $  fi\    "    )""fi ,--  , %,--fl !fi,    ,(   ff fi/$"  (    ,--  \ 5%   2  (  ff.  ) ! fi/$"  (      ,--    fi   fi  "   fiff/  " $ (    ,--  % ,-- % i ,--fl !fi"/  $ ,--   fi %  %(     ,--   " 5 % ,fi! ff $fl 19.2. "i fi2(ff "%  fi,-- % ,\ 2 ffi%*"    ff    ffi (fi,ff  fl"% %    fl" % fifi *  \     fi   flffi  2    ff    fi/$"  (      ,--  ff)   ' %  fi ( ffl*   % fi i  1fi  i\\\ "fl      i . ffl. ff$fl 19.1\    " !     ff$fl 19.2\ ,-- %    2_TB Physics M6.pdf 143 7/30/2015 3:08:42 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


139 !,--4 % ')"% 1  .  ffl. ! ,  %  fi fl\  1 fi2%i 4 % '   fifi" fi4 % '",fl.  ffl.,-- !  %  fi fl\   ,  %  fi / $ ,--  i fl  1 " fi 2' "  fl %ff,--  i ff#    fi,  "  ),--  ffl%    fi, \  1 " fi fl   fi,)fl  a) .  bi   fi fl  fi,) fl a)   . b '%  fi ",-- fi (   \   i ",-- "  %%  fi )fl  fi  fl  ),--   " %  %,    )  fl ,-  -)fl  fi fl "  1\ 3   fflff  ffi fi  3.1    %fl%,--" fifi(fl"  fl,--   $ )  )  ffl fflfi  ffl"%,--fifi%%  % fl  $ #ffi  )ffl   i  ff $fl 193\ ("  ffl!fl,   0fi l   )  ffl"%,--fl  )/  $ )  i "fl%fi",--(   ffl   \ ff$fl 193\ "#  ' )",--  \ A C   A C   )ff! ) ff$fl 19.4\ "fi) " ) ff!  ffl"%,-- %\ 2_TB Physics M6.pdf 144 7/30/2015 3:08:42 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


140 l     $ ffl"%,--   / #% $ ffl" %,--! %  ffl" 100 mmHg i /$"  )  .  " )   . " fi fi  )fi ' i "   fi",--(  ffl"%,--\ 2 fl %ffl!  ffl"%,--i   fi      )"%%,, %) % ffl"%,--\ l   )  ffl"%,--ffl! ffl" 10 mmHg i )   fi    "%  fl  )  .   fffl %     fl).   )\ l  fl %!  ffl"%,--  %   ffl/" $ "  1 0,001 mmHg " )""ffi  (  fl"  fl,--  /" $ )  )  ffl"%,--fi"  200V -300V i fi    ")"%%  ,  ffl"%,-- " fl  )0 )  )   .   (C) )   fi  ff fi " %) 2  ) .  (A) ")ff  ! fflfi !" ff i  ff $fl 194\       fi 0    #ffi  ("fl,--  /! $    %)ffl"%,--#fl  /$)  ) .    "  fl,--  ffl! ffl%fi! afi(fl"  fl,--  $ fi !b " /$)ff  )! . "  fl,--  ! 4 %  fi! afi(fl "fl,--   % fi!b\ 3.2.  $ % /  ) $ ) .   fi(fl"  fl,--  $\ "i ' fi ff,--  $\ %2  "  fl %ff  ,--  fifi fl$   fi fl/$ fl%    ' #" fi    fi $i  % )     . ff   1 ). "\ fl fi  1 fi"   "    fi ,).  i   / ,%" $ #"     fi )fl   1   %  fl %$i fi4 '%  )  % a%.) ! 2_TB Physics M6.pdf 145 7/30/2015 3:08:42 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


141 fi4% b fl  1 '   fi,.%fl%2 % fl.  )  ! fl' %fi \ "i 'fffl % ).   fi ) fi ) .   \ fl    1   fi#fl  % )) .    fi#"fi   fi   )$ ' \ ,  % fl.  ) ! i "ff.  ) ! %fi  " )""ffi fi%  ff %   fi  /fl$ % ).   ffl)ff. ! \ 3.3  & # , * %   2,--  )#(" ffl,--\ fi) fiffl"%,--) ' fl*"  ) fifl  ! ffl *0  "%fi fflfl""%  fi-i\\\       ffl,-- fi*   .%,   !fl fl%,fl   !   * )  i  fl   fl ! " )  ffl,--# ,  %ff    \  ff    ,  ff  fl ) fi fi-   "(  fi)* %     flfi)fi(   \ *ffl ,--% fflffl""/  #"  ,--  ,fi  *,--   #" % )  ffl,--%  %  % )  ,--" 3  4 \  "#fi /ffl ,-- ffffi"   %))  ffl,--  flfl%,--"   " fl  # , %fl %,--""ffl flffl,-- ff % ffi,   i  ff $fl 19.5fl    "  fl% 0fi   %))  ffl,--   flfl%,- -""ffl fli )  ""  ffl fl ff4 fi) . " ) .     "/,  " "5"5 % fi\  ff$fl 19.5\  % ffl,-- S (Starter) Balart ffl,-- fl%,--"ffl fl ff$fl 19.6. fi"% ffl 2_TB Physics M6.pdf 146 7/30/2015 3:08:42 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


142 2" fi ffl flffi  fi $ " 50    % fia" % fifi fi  fl  %,--"ffl flfifi2fi50 Hz bi * ff fl%)ff % . ! " ). ,  \ "iff'    ) fi fi"%, ffl,-- \ #  ,)     fi 2 ,--  fl i! # *%,%."   ))  ffl,--\ ",--  ( %,%."   ff $fl19.5i % ,%.""ff)   '  % 1  \ ffl  "  fi(S) "  ",--fi( %,%." ff  /$  "  )  )  ffl,--fi fi(fl"  fl,--   fflfi fi,-- * %  fi ff,-- fi "fl   fl  1i ff   1   fifi,   % .  ffl .,-- ! ) ff #" fi fi  #  fl  \  )"") fi )  ffl,--fl%,ff 4 fi"% 1ff    fii   # ff4 fi).  " ) . "  ffl fl   "),--   ""ffl fl\ #fl",-- ! ffl,--   fi#  ' %flflflffi  flffl,--\ fl %,-- % fi* ffl i fi("  ff,--  "  ##fi( fl"  fl,--   ffl ,-- %",--),ffl,--\ 4 fflff ffi  # ' ffi  fl2,--  / $ fifi     i # ,   0fi *ffl    fflffl"%,--fifl  ! \ /$  )  ffl"%,--fi) .  (A) " ) .   (C) fiff%."  \   % ),--  )ffl"%,--   flfl%,--" fifl (  fl "fl,--  ,i  ff $fl 19.7i (,      0fi A V   ff$fl 19.7\ "#  ' )",--   A C 2_TB Physics M6.pdf 147 7/30/2015 3:08:42 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


143 l (  fl"  fl,--  /) $  ffl U 0 i fl%fi",--(   ffl  I 0 \   (  fl"  fl,--  /) $ )  ffl"%,--fi4  ' aU 0 b  fi   %i ffl"%,--fi ",-- fi  a I 0 b )'  i " ,-- I ffi   #  #   fl(  fl"  fl,--   U\ #  fi (fl"  fl,--  ),2 '  4  'U (fl"  fl  bi 2   "  fl %#fi(  fl"  fl,--  )' U (fl"  fl$! 4  'bi ",-  - I "fl%#fi)' %\ fl " fi       fi )fl%ffi  ffl fifl  ,-- ! fi)fi  ' %  fi fl  ,-- ! #ffi   fi  fi,2) ,-  -)ffl"% ,--\ ",--fi fi ffl   ' ff ( I ).  ff $fl 19.8 l #%ffl ",--,fl   2!  ",--  4  ' i 2 fl % #fi(  fl"  fl,--  ), ' %i #  fi)' 2   4  'i   )",--  fl#  fi), ' fi! ffiflfl#  fi)) ' U\ fi 2 "/  " ! fl! %fi  fi fi   % i  2,--  % % fl  %)fi ' %,\    "  fl%,    0fi  U U i ) ,--  / $ fi%  fi !i  1  fifi#"   fi     $ % fl.  ), ! /   % i ff.  !  %  fi ffl%)  ' "  fi$/,  \ )"flfi fi 0  %#ffi ( % fi  ffi 25,--  .%"  "  fi %i  #" fl    1   % .   ! ffl  %    flfi fli fl .   ! fflfi flffl,  ff  fl#"#  fi)' \  fl #" $ "  #  %  %#"    fiffl,fffl $ \ U U I ff$fl19.8\ ## "   I  U 2_TB Physics M6.pdf 148 7/30/2015 3:08:42 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


144 5  ffi( fi 51  )  ffi( fi   fi, )    i    ffi  fl",--  fi(   ffl "%,--#fl  i   )  ffl"%,--ffl!%  ffl"  0,01 0,001 mmHg )) . ""%,  ffl afl%fi)ff! fi%b  /$  )  ffl fi/$ *4 ) . "   fi fi)ffiffl \    "  fl% 0 #% fi "  fl)  ,--  ffl "%,--i fl  1 fiffl!).      ff   ffl"fl)   fi "  fi). ,2  ) .  .%fl%,  % fl.  ) ! fi%\ " 1 fi"% ) .      fi 0   ffi( fi 5.2. ffl"  ffi  ffi( fi  ' ! "")   fi. %  fiff  ""ffl!fl ,    0fi 1)\ *( ."ff  fl $ 5%flff  ).  .%/*$ 4  " )"4fl) .   \ (fi)fi ' /$ %  )  ffl*  4  fl)  . fiff$fl5%fl fl(  ."  fi*ff ).  i  ff $fl 19.9\ "    2  fl %2"fl  ,--   ffl ffli  . " fi   fi*\ ff$fl19.9\ ""  fi) .  fi ff$fl19.10\ "")fffl2$ %  %   fi 2_TB Physics M6.pdf 149 7/30/2015 3:08:42 PM ສ.ວ.ສ ສະຫງວນລຂ ິ ະສດ ິ


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