Network Theory Questions and Answers – Norton’s Theorem

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Norton’s Theorem”.

1. Find the current flowing between terminals A and B of the circuit shown below.
The current flowing between terminals A & B of the circuit is 4
a) 1
b) 2
c) 3
d) 4
View Answer

Answer: d
Explanation: The magnitude of the current in Norton’s equivalent circuit is equal to the current passing through the short circuited terminals that are I=20/5=4A.

2. Find the equivalent resistance between terminals A and B of the circuit shown below.
The current flowing between terminals A & B of the circuit is 4
a) 0.33
b) 3.33
c) 33.3
d) 333
View Answer

Answer: b
Explanation: Norton’s resistance is equal to the parallel combination of both the 5Ω and 10Ω resistors that is R = (5×10)/15 = 3.33Ω.

3. Find the current through 6Ω resistor in the circuit shown below.
The current flowing between terminals A & B of the circuit is 4
a) 1
b) 1.43
c) 2
d) 2.43
View Answer

Answer: b
Explanation: The current passing through the 6Ω resistor and the voltage across it due to Norton’s equivalent circuit is I = 4×3.33/(6+3.33) = 1.43A.
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4. Find the voltage drop across 6Ω resistor in the circuit shown below.
The current flowing between terminals A & B of the circuit is 4
a) 6.58
b) 7.58
c) 8.58
d) 9.58
View Answer

Answer: c
Explanation: The voltage across the 6Ω resistor is V = 1.43×6 = 8.58V. So the current and voltage have the same values both in the original circuit and Norton’s equivalent circuit.

5. Find the current flowing between terminals A and B in the following circuit.
Find the voltage drop across 6Ω resistor in the circuit
a) 1
b) 2
c) 3
d) 4
View Answer

Answer: d
Explanation: Short circuiting terminals A and B, 20-10(I1)=0, I1=2A. 10-5(I2), I2=2A. Current flowing through terminals A and B = 2+2 = 4A.
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6. Find the equivalent resistance between terminals A and B in the following circuit.
Find the voltage drop across 6Ω resistor in the circuit
a) 3
b) 3.03
c) 3.33
d) 3.63
View Answer

Answer: c
Explanation: The resistance at terminals AB is the parallel combination of the 10Ω resistor and the 5Ω resistor => R = ((10×5))/(10+5) = 3.33Ω.

7. Find the current flowing between terminals A and B obtained in the equivalent Nortan’s circuit.
Find the voltage drop across 6Ω resistor in the circuit
a) 8
b) 9
c) 10
d) 11
View Answer

Answer: d
Explanation: To solve for Norton’s current we have to find the current passing through the terminals A and B. Short circuiting the terminals a and b, I=100/((6×10)/(6+10)+(15×8)/(15+8))=11.16 ≅ 11A.
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8. Find the equivalent resistance between terminals A and B obtained in the equivalent Nortan’s circuit.
Find the voltage drop across 6Ω resistor in the circuit
a) 8
b) 9
c) 10
d) 11
View Answer

Answer: b
Explanation: The resistance at terminals AB is the parallel combination of the 10Ω resistor and the 6Ω resistor and parallel combination of the 15Ω resistor and the 8Ω resistor => R=(10×6)/(10+6)+(15×8)/(15+8)=8.96≅9Ω.

9. Find the current through 5Ω resistor in the circuit shown below.
Find the voltage drop across 6Ω resistor in the circuit
a) 7
b) 8
c) 9
d) 10
View Answer

Answer: a
Explanation: To solve for Norton’s current we have to find the current passing through the terminals A and B. Short circuiting the terminals a and b I=11.16×8.96/(5+8.96) = 7.16A.
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10. Find the voltage drop across 5Ω resistor in the circuit shown below.
Find the voltage drop across 6Ω resistor in the circuit
a) 33
b) 34
c) 35
d) 36
View Answer

Answer: d
Explanation: The voltage drop across 5Ω resistor in the circuit is the product of current and resistance => V = 5×7.16 = 35.8 ≅ 36V.

Sanfoundry Global Education & Learning Series – Network Theory.

To practice all areas of Network Theory, here is complete set of 1000+ Multiple Choice Questions and Answers.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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