# DC Response of an R-L-C Circuit MCQ’s

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

1. If the roots of an equation are real and unequal, then the response will be?

a) critically damped

b) under damped

c) over damped

d) damped

2. If the roots of an equation are complex conjugate, then the response will be?

a) over damped

b) critically damped

c) damped

d) under damped

3. For an R-L-C circuit, we get [D – (K_{1} + K_{2})][D – (K_{1} – K_{2})] i = 0. If K_{2} is positive, then the curve will be?

a) damped

b) over damped

c) under damped

d) critically damped

4. If the roots of an equation are real and equal, then the response will be?

a) over damped

b) damped

c) critically damped

d) under damped

5. Replacing the differentiation with D_{1}, D_{2} in the equation 100 = 20i + 0.05 didt+120×10−6∫idt. Find the values of D_{1}, D_{2}.

a) 200±j979.8

b) -200±j979.8

c) 100±j979.8

d) -100±j979.8

6. At time t = 0, the value of current in the circuit shown below.

a) 1

b) 2

c) 3

d) 0

7. The circuit shown in the figure consists of resistance, capacitance and inductance in series with a 100V source when the switch is closed at t = 0. Find the equation obtained from the circuit in terms of current.

a) 100 = 20i + 0.05 didt+120×10−6∫idt

b) 100 = 20i – 0.05 didt+120×10−6∫idt

c) 100 = 20i + 0.05 didt–120×10−6∫idt

d) 100 = 20i – 0.05 didt–120×10−6∫idt

8. The expression of current from the circuit shown below.

a) i=e^{-200t} [c_{1} cos979.8t+c_{2} 979.8t]A

b) i=e^{200t} [c_{1} cos979.8t-c_{2} 979.8t]A

c) i=e^{-200t} [c_{1} cos979.8t-c_{2} 979.8t]A

d) i=e^{200t} [c_{1} cos979.8t+c_{2} 979.8t]A

9. The voltage across the inductor at t = 0 in the circuit shown below.

a) 50

b) 100

c) 150

d) 200

10. The current equation obtained from the circuit shown below is?

a) i=e^{-200t} (1.04 sin979.8t)A

b) i=e^{-200t} (2.04 sin979.8t)A

c) i=e^{-200t} (3.04 sin979.8t)A

d) i=e^{-200t} (4.04 sin979.8t)A

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