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Network Equation (Mesh & Node) - 1 - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Network Equation (Mesh & Node) - 1 (10 Questions)

You can prepare effectively for Electrical Engineering (EE) Network Theory (Electric Circuits) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Network Equation (Mesh & Node) - 1". These 10 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Network Equation (Mesh & Node) - 1 - Question 1

v1 = ?

Detailed Solution: Question 1

Applying the nodal analysis

Test: Network Equation (Mesh & Node) - 1 - Question 2

va = ?

Detailed Solution: Question 2

  1. Define nodes

  • Left node = vL

  • Right node = va

  • Bottom node = ground

  1. KCL at node va

  • Currents entering va: 3 A (top source, left→right) + 1 A (bottom source, up) = 4 A

  • Only path leaving va is through the 2 Ω resistor to the left node: I = (va − vL) / 2

  • Set entering = leaving: (va − vL) / 2 = 4 → va − vL = 8 …… (1)

  1. KCL at left node vL

  • From step (1), 4 A enters vL from the 2 Ω branch

  • 3 A leaves vL to the right through the top source

  • So 1 A must go to ground through the 3 Ω resistor

  • vL / 3 = 1 → vL = 3 V …… (2)

  1. Solve for va

  • From (1) and (2): va = vL + 8 = 3 + 8 = 11 V

Final answer: va = 11 V.

Test: Network Equation (Mesh & Node) - 1 - Question 3

v1 = ?

Detailed Solution: Question 3

Test: Network Equation (Mesh & Node) - 1 - Question 4

va = ?

Detailed Solution: Question 4

Test: Network Equation (Mesh & Node) - 1 - Question 5

A signal generator having a source resistance of 50 Ω is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to 8 V peak-to-peak. The value of this capacitor is __________ μF. (Round off to 2 decimal places.)

 

Detailed Solution: Question 5

Test: Network Equation (Mesh & Node) - 1 - Question 6

ib = ?

Detailed Solution: Question 6

Correct Answer :- B

Explanation : Current due to voltage source is:

I' = 10/(64+36) 

= 0.1A.

Current due to current source is:

I = 0.5A.

Current ib = I' + I 

= 0.5+ 0.1

= 0.6A

Test: Network Equation (Mesh & Node) - 1 - Question 7

Find the power supplied by the dependent voltage source in the circuit given below.

Detailed Solution: Question 7

3loops = 3KVL equations. Solving them gives currents flowing in the circuit. I1 = 5A, I2 = -1.47A, I3 = 0.56A. Power supplied by dependent voltage source = 0.4V1 (I1 - I2).

Test: Network Equation (Mesh & Node) - 1 - Question 8

i1 = ?

Detailed Solution: Question 8


Test: Network Equation (Mesh & Node) - 1 - Question 9

i1 = ?

Detailed Solution: Question 9

Test: Network Equation (Mesh & Node) - 1 - Question 10

i1 = ?

Detailed Solution: Question 10


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