Explore topic-wise MCQs in Network Theory Questions and Answers.

This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 50cos (102t+π/4), resistance R = 10Ω and capacitance C = 1µF. The value of c in the complementary function of ‘i’ is?

A. c = (3.53-4.99×10-3) cos⁡(π/4+89.94o)
B. c = (3.53+4.99×10-3) cos⁡(π/4+89.94o)
C. c = (3.53+4.99×10-3) cos⁡(π/4-89.94o)
D. c = (3.53-4.99×10-3) cos⁡(π/4-89.94o)
Answer» B. c = (3.53+4.99×10-3) cos⁡(π/4+89.94o)
Discussion
2.

In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 50cos (102t+π/4), resistance R = 10Ω and capacitance C = 1µF. The complete solution of ‘i’ is?

A. i = c exp (-t/10-5) – (4.99×10-3) cos⁡(100t+π/2+89.94o)
B. i = c exp (-t/10-5) + (4.99×10-3) cos⁡(100t+π/2+89.94o)
C. i = -c exp(-t/10-5) + (4.99×10-3) cos⁡(100t+π/2+89.94o)
D. i = -c exp(-t/10-5) – (4.99×10-3) cos⁡(100t+π/2+89.94o)
Answer» C. i = -c exp(-t/10-5) + (4.99×10-3) cos⁡(100t+π/2+89.94o)
Discussion
3.

In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 50cos (102t+π/4), resistance R = 10Ω and capacitance C = 1µF. The current flowing in the circuit at t = 0 is?

A. 1.53
B. 2.53
C. 3.53
D. 4.53
Answer» D. 4.53
Discussion
4.

In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 50cos (102t+π/4), resistance R = 10Ω and capacitance C = 1µF. The particular integral of the solution of ‘ip’ is?

A. ip = (4.99×10-3) cos⁡(100t+π/4-89.94o)
B. ip = (4.99×10-3) cos⁡(100t-π/4-89.94o)
C. ip = (4.99×10-3) cos⁡(100t-π/4+89.94o)
D. ip = (4.99×10-3) cos⁡(100t+π/4+89.94o)
Answer» E.
Discussion
5.

In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 50cos (102t+π/4), resistance R = 10Ω and capacitance C = 1µF. The complementary function of the solution of ‘i’ is?

A. ic = c exp (-t/10-10)
B. ic = c exp(-t/1010)
C. ic = c exp (-t/10-5)
D. ic = c exp (-t/105)
Answer» D. ic = c exp (-t/105)
Discussion
6.

The value of ‘c’ in complementary function of ‘i’ is?

A. c = V/R cosθ+V/√(R2+(1/(ωC))2) cos⁡(θ+tan-1(1/ωRC))
B. c = V/R cosθ+V/√(R2+(1/(ωC))2) cos⁡(θ-tan-1(1/ωRC))
C. c = V/R cosθ-V/√(R2+(1/(ωC))2) cos⁡(θ-tan-1(1/ωRC))
D. c = V/R cosθ-V/√(R2+(1/(ωC))2) cos⁡(θ+tan-1(1/ωRC))
Answer» E.
Discussion