VIR Series & Parallel Circuit EXERCISES

Chapter 7 : Electricity and Magnetism
7.2 : Flow of Electric Current in
a Series and Parallel Circuit
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Current, Voltage and Resistance in

Series circuit Parallel circuit

AT R1 IT = I1 + I2 + I3
R2
IT = I1 = I2 The current is split into
Flow of current three smaller current
The current is same everywhere r'jueeNAM21
VT = V1 = V2 = V3
VT = V1 + V2
RT = R1 + R2 1=1+1+1
RT R1 R2 R3

Example 1: R1 R1 R2 R3
Example 3:
Example 2:

R2 RT = R1 + R2 + R3
=3Ω+ 3Ω+3Ω
R3
=9Ω
RT = R1 + R2 + R3
=2Ω+ 3Ω+6Ω Calculate total resistance What is the difference of the
= 11 Ω in each circuit value of total resistance in circuit

Example 4: in example 2 and example 4?

1=1+1 R1
R1 RT R1 R2

R2 =1+1 R2
33 R3

1=2

RT 3

RT = 3
2

= 1.5 Ω

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Question 1: R1 R2 Calculate total resistance in each circuit R2
R3 R3
Question 2:

R1

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Calculate total resistance in each circuit

Question 3: R1 Question 4:
R2
R1

R3 R2

R3

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Calculate total resistance in each circuit

Question 5: Question 6:

2Ω 7Ω
R1 R2
5Ω 4Ω

R3 R4

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Question 7: Calculate total resistance in each circuit

R3 Question 8:

R1 R1
R2 R2

R3

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Identify or
type of
Calculate circuit RT = R1 + R2 + R3 1=1+1+1
resistance in RT R1 R2 R3
the circuit Calculate
total
resistance

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Resistance
in series
circuit.

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Resistance
in parallel
circuit.

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Resistance
in
combination
circuit.

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Numerical Problems Related
to Current, Voltage and

Resistance in Series Circuit
and Parallel Circuit

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Example 1 :

Current, Example 2 :
Voltage and
Resistance in

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Example 3 : VT

From the circuit below, calculate: VT = 12 V RT
i) the total current in this circuit. R1 = 100 Ω
ii) Voltage at each resistor.
R2 = 3300 Ω
R3 = 4700 Ω

i) Total current in the circuit ii) Voltage at each resistor

1st step : Find out total resistance V1 = V1 R1
RT = R1 + R2 + R3 = 0.0015 × 100
= 0.15 V
= 100 + 3300 + 4700
= 8130 Ω V2 = V2 R2
= 0.0015 × 3300
2nd step : Find out total current = 4.95 V
IT = VT ÷ RT
V3 = V3 R3
= 12 ÷ 8130 = 0.0015 × 4700
= 0.0015 A = 7.05 V

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Example 4 : 6V 6Ω 2Ω 1Ω VT = 6 V
R1 = 6 Ω
From the circuit below, calculate: RT
i) the total current in this circuit. R2 = 2 Ω
ii) Value of I1, I2 and I3. R3 = 1 Ω

i) Total current ii) Value of I1, I2 and I3
1st step : Find out total resistance I1 = VT ÷ R1
=6÷6
1=1+1 + 1 =1A Check your answer
RT R1 R2 R3 either its correct or
1=1+1 + 1 I2 = VT ÷ R2 not
RT 6 2 1 =6÷2
=3A IT = I1 + I2 + I3
1=1+3 +6 =1+3+6
RT 6 6 6 I3 = VT ÷ R3
=6÷1 = 10A
1 = 10 2nd step : Find out total current =6A
RT 6
Total current, IT = VT
RT = 6 RT
10
=6
RT = 0.6 Ω
0.6

= 10 A

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Question 1:

From the circuit below, calculate:
i) the total current in this circuit.
ii) voltage in every resistor

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Question 2:

From the circuit below, calculate:
i) the total current in this circuit.
ii) voltage in every resistor

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Question 3:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current in each resistor

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Question 4:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage in every resistor

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Question 5:

From the circuit below, calculate:
i) the total current in this circuit.
ii) voltage in every resistor

12 6 Ω 3Ω

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Question 6:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage in every resistor

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Question 7:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage in every resistor

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Question 8:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current in A1, A2, A3, A4, and A5.

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Question 9:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage at each resistor.

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Question 10:

From the circuit below, calculate:
i) Value of R2
ii) Voltage at each resistor.

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Question 11:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage at each resistor.

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Question 12:

From the circuit below, calculate:
i) Value of R.
ii) Voltage at each resistor.

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Question 13:

From the circuit below, calculate:
i) Value of R.
ii) Value of A1

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Question 14:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage at each resistor.

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Question 15:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage at each resistor.

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Question 16:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage at each resistor.

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Question 17:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage at each resistor.

R1=10 Ω
V R2 = 35 Ω

R3=15 Ω

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Question 18 :

Three resistor are connected in series as shown in figure below. Find out:
i. Effective resistance, R
ii. Current in the circuit, I

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Question 19 :

Three resistor are connected in parallel as shown in figure below. Find out:
i. Effective resistance, R
ii. Current in the circuit, I

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Question 20:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current at each resistor

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Question 21:

From the circuit below, calculate:
i) the total current in this circuit.

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Question 22:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage at each resistor.

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Question 23:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Voltage at each resistor.

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Question 24:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current at each resistor

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Question 25:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current at each resistor

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Question 26:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current at each resistor

12V

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Question 27:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current at each resistor

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Question 28:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current at each resistor

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Question 29:

From the circuit below, calculate:
i) the total current in this circuit.
ii) Current at each resistor

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Question 30:

What is the value of R3 in figure below will set the value of the circuit current to 1.5A.

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Question 31:

Calculate the total current in the circuit below.

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Question 32:

From the circuit below, calculate:
i) the total current in this circuit.
ii) voltage in every resistor

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Question 33:

From the circuit below, calculate the total current in this circuit.

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Question 34:

From the circuit below, calculate the total current in this circuit.

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Question 35:

From the circuit below, calculate the total current in this circuit.

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