Test: Second Order RLC Circuits

QUESTION: 1

A current is given by

The initial and final values of currents are respectively

A.
B.
C.
D.

Solution:

QUESTION: 2

The initial value theorem does not hold good for which of the following functions?

A.
Ramp function
B.
Step function
C.
Delta function
D.
Hyperbolic function

Solution:

QUESTION: 3

For the parallel RLC circuit to be underdamped

A.
B.
C.
D.

Solution:

Characteristic equation of a parallel RLC circuit is

QUESTION: 4

For the circuit shown below, the switch K is closed at t = 0,

The value of the current and their derivatives for the above circuit at t = 0 were foundout and matched as given below:

Which of the above are correctly matched ?

A.
1 and 2 only
B.
2 and 3 only
C.
1 and 3 only
D.
1,2 and 3

Solution:

At t = 0⁺, inductor will act as open circuit therefore, i(0⁺) = 0 A.
Applying KVL in the loop, we have

QUESTION: 5

The energy in a network in Laplace domain is given by

The initial and final values of power are respectively

A.
1 unit and 0 unit
B.
0 unit and 1 unit
C.
both 1 unit
D.
both 0 unit

Solution:

We know that,

QUESTION: 6

A voltage is given by

The value of V(t→ ∞) is

A.
17/4 volts
B.
infinite
C.
zero volt
D.
none of these

Solution:

QUESTION: 7

The voltage across a capacitor is given by

If the capacitor has the value of 2 F, initial value of current through it (at t = 0⁺) will be

A.
1 A
B.
0 A
C.
2 A
D.
None of these

Solution:

Hence, initial value of current through the capacitor = 2 A.

QUESTION: 8

The impedance Z(s) in the circuit shown below is

A.
B.
C.
D.

Solution:

The given circuit in Laplace domain is shown below.

QUESTION: 9

The voltage V_c1,V_c2 and V_c3 across the capacitors in the circuit shown below under steady-state, are respectively

A.
80 V, 48 V, 32 V
B.
20 V, 12 V, 8 V
C.
80 V, 32 V, 48 V
D.
20 V, 8 V, 12 V

Solution:

Under steady state condition inductors will act as short circuit while capacitors will act as open circuit.

QUESTION: 10

The value of Z(s) in the circuit shown below is given by

The values of R, L and Care respectively given by

A.
B.
C.
D.

Solution:

On comparing the two values of Z(s), we get

10 Questions MCQ Test Topicwise Question Bank for Electronics Engineering | Test: Second Order RLC Circuits

A current is given by

The initial and final values of currents are respectively

The initial value theorem does not hold good for which of the following functions?

For the parallel RLC circuit to be underdamped

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