Sinusoidal Response of an R-L Circuit MCQ’s

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This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Sinusoidal Response of an R-L Circuit”.

1. The particular current obtained from the solution of i in the sinusoidal response of R-L circuit is?
a) ip = V/√(R2+(ωL)2) cos⁡(ωt+θ+tan-1(ωL/R))
b) ip = V/√(R2+(ωL)2) cos⁡(ωt+θ-tan-1(ωL/R))
c) ip = V/√(R2+(ωL)2) cos⁡(ωt-θ+tan-1(ωL/R))
d) ip = V/√(R2+(ωL)2) cos⁡(ωt-θ+tan-1(ωL/R))

2. The value of ‘c’ in complementary function of ‘i’ is?
a) c = -V/√(R2+(ωL)2) cos⁡(θ+tan-1(ωL/R))
b) c = -V/√(R2+(ωL)2) cos⁡(θ-tan-1(ωL/R))
c) c = V/√(R2+(ωL)2) cos⁡(θ+tan-1(ωL/R))
d) c = V/√(R2+(ωL)2) cos⁡(θ-tan-1(ωL/R))

3. In the sinusoidal response of R-L circuit, the complementary function of the solution of i is?
a) ic = ce-t(R/L)
b) ic = cet(RL)
c) ic = ce-t(RL)
d) ic = cet(R/L)

4. The complete solution of the current in the sinusoidal response of R-L circuit is?
a) i = e-t(R/L)[V/√(R2+(ωL)2) cos⁡(θ-tan-1)⁡(ωL/R))]+V/√(R2+(ωL)2) cos⁡(ωt+θ-tan-1)⁡(ωL/R))
b) i = e-t(R/L)[-V/√(R2+(ωL)2) cos⁡(θ-tan-1)(ωL/R))]-V/√(R2+(ωL)2) cos⁡(ωt+θ-tan-1)⁡(ωL/R))
c) i = e-t(R/L)[V/√(R2+(ωL)2) cos⁡(θ-tan-1)⁡(ωL/R))]-V/√(R2+(ωL)2) cos⁡(ωt+θ-tan-1)⁡(ωL/R))
d) i = e-t(R/L)[-V/√(R2+(ωL)2) cos⁡(θ-tan-1)⁡(ωL/R))]+V/√(R2+(ωL)2) cos⁡(ωt+θ-tan-1)⁡(ωL/R))

5. In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The particular integral of the solution of ‘ip’ is?

network-theory-questions-answers-sinusoidal-response-rl-q5

a) ip = 0.98cos⁡(1000t+π/2-78.6o)
b) ip = 0.98cos⁡(1000t-π/2-78.6o)
c) ip = 0.98cos⁡(1000t-π/2+78.6o)
d) ip = 0.98cos⁡(1000t+π/2+78.6o)

6. The current flowing through the circuit at t = 0 in the circuit shown below is?

network-theory-questions-answers-sinusoidal-response-rl-q5

a) 1
b) 2
c) 3
d) 0

7. In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The complementary function of the solution of ‘i’ is?

network-theory-questions-answers-sinusoidal-response-rl-q5

a) ic = ce-100t
b) ic = ce100t
c) ic = ce-200t
d) ic = ce200t

8. In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The complete solution of ‘i’ is?

network-theory-questions-answers-sinusoidal-response-rl-q5

a) i = ce-200t + 0.98cos⁡(1000t-π/2-78.6o)
b) i = ce-200t + 0.98cos⁡(1000t+π/2-78.6o)
c) i = ce-200t + 0.98cos⁡(1000t+π/2+78.6o)
d) i = ce-200t + 0.98cos⁡(1000t-π/2+78.6o)

9. In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The value of c in the complementary function of ‘i’ is?

network-theory-questions-answers-sinusoidal-response-rl-q5

a) c = -0.98cos⁡(π/2-78.6o)
b) c = -0.98cos⁡(π/2+78.6o)
c) c = 0.98cos⁡(π/2+78.6o)
d) c = 0.98cos⁡(π/2-78.6o)

10. In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The complete solution of ‘i’ is?

network-theory-questions-answers-sinusoidal-response-rl-q5

a) i = [-0.98 cos⁡(π/2-78.6o)] exp⁡(-200t)+0.98cos⁡(1000t+π/2-78.6o)
b) i = [-0.98 cos⁡(π/2-78.6o)] exp⁡(-200t)-0.98cos⁡(1000t+π/2-78.6o)
c) i = [0.98 cos⁡(π/2-78.6o)] exp⁡(-200t)-0.98cos⁡(1000t+π/2-78.6o)
d) i = [0.98 cos⁡(π/2-78.6o)] exp⁡(-200t)+0.98cos⁡(1000t+π/2-78.6o)

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