Question 1

Consider the following statements S1 and S2 S1 : At the resonant frequency, the impedance of a series RLC circuit is zero. S2 : In a parallel GLC circuit, increasing the conductance G results in increase in its Q factor. Which one of the following is correct?

S1 is FALSE and S2 is TRUE.
Both S1 and S2 are TRUE.
S1 is TRUE and S2 is FALSE.
Both S1 and S2 are FALSE.

Answer

Correct Option: D

Question 2

In the following figure, C₁ and C₂ are ideal capacitors. C₁ has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is

zero
a step function
an exponentially decaying function
an impulse function

Answer

Correct Option: D

Question 3

The circuit shown below is driven by a sinusoidal input v_i = V_p cos (t /RC). The steady state output v_o is

(V_p/3) cos (t /RC)
(V_p/3) sin (t /RC)
(V_p / 2) cos (t /RC)
(V_p /2) sin (t /RC)

Answer

Correct Option: A

Question 4

An independent voltage source in series with an impedance Z_S = R_S + jX_S delivers a maximum average power to a load impedance Z_L when

Z_L = R_S + jX_S
Z_L = R_S
Z_L = jX_S
Z_L = R_S - jX_S

Answer

Correct Option: D

Question 5

A 2 mH inductor with some initial current can be represented as shown below, where s is the Laplace Transform Variable. The value of initial current is

0.5 A
2.0 A
1.0 A
0.0 A

Answer

Correct Option: A

Question 6

The driving point impedance of the following network is given by Z (s) = $\dfrac{0.2s}{s^2 + 0.1s + 2}$

The component values are

L = 5 H, R = 0.5 $\Omega$, C = 0.1 F
L = 0.1 H, R = 0.5 $\Omega$, C = 5 F
L = 5 H, R = 2 $\Omega$, C = 0.1 F
L = 0.1 H, R = 2 $\Omega$, C = 5 F

Answer

Correct Option: D

Question 7

In the circuit shown, the switch S is open for a long time and is closed at t = 0. The current i(t) for t$\ge$ 0⁺ is

i(t)=0.5-0.125e-¹⁰⁰⁰tA
i(t)=1.5-0.125e^-1000tA
i(t)=0.5-0.5e^-1000tA
i(t)=0.375e^-1000tA

Answer

Correct Option: A

Question 8

For the circuit in the figure, the instantaneous current i₁ (t) is

$\dfrac{10\sqrt 3}{2} \angle 90^\circ Amps$
$\dfrac{10\sqrt 3}{2} \angle -90^\circ Amps$
$5 \angle 60^\circ Amps$
$5 \angle -60^\circ Amps$

Answer

Correct Option: A

Question 9

Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

At t = 0⁺, the current i₁ is

$\dfrac{-V}{2R}$
$\dfrac{-V}{R}$
$\dfrac{-V}{4R}$
zero

Answer

Correct Option: A

Question 10

The first and the last critical frequency of an RC-driving point impedance function must respectively be

a zero and a pole
a zero and a zero
a pole and a pole
a pole and a zero

Answer

Correct Option: C

Question 11

The differential equation for the current i(t) in the circuit of figure given below is

2$\dfrac{d^2i}{dt^2} + 2 \dfrac{di}{dt} + i(t) = sin t$
$\dfrac{d^2i}{dt^2} + 2 \dfrac{di}{dt} + 2i(t) = cos t$
2$\dfrac{d^2i}{dt^2} + 2 \dfrac{di}{dt} + i(t) = cos t$
$\dfrac{d^2i}{dt^2} + 2 \dfrac{di}{dt} + 2i(t) = sin t$

Answer

Correct Option: C

Question 12

For the two-port network shown below, the short circuit admittance parameter matrix is

^{$\left[
\begin{array}
\ 4 & -2 \\
-2 & 4
\end{array}
\right]
$}S
^{$\left[
\begin{array}
\ 1 & -0.5 \\
-0.5 & 1
\end{array}
\right]
$}S
^{$\left[
\begin{array}
\ 1 & 0.5 \\
0.5 & 1
\end{array}
\right]
$}S
^{$\left[
\begin{array}
\ 4 & 2 \\
2 & 4
\end{array}
\right]
$}S

Answer

Correct Option: A

Question 13

Consider the network graph shown in the figure. Which one of the following is NOT a 'tree' of this graph?

Answer

Correct Option: B

Question 14

If the transfer function of the following network is

The value of the load resistance R_L is

$\dfrac{R}{4}$
$\dfrac{R}{2}$
R
2R

Answer

Correct Option: C

Question 15

Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

I₁ (s) and I₂ (s) are the Laplace transforms of i₁ (t) and i₂ (t) respectively. The equation for the loop current I₁ (s) and I₂ (s) for the circuit shown in figure Q.33-34, after the switch is brought from position 1 to position 2 at t = 0, are

$\left[ \begin{array} \ R+Ls+\dfrac{1}{Cs} & -Ls \\ -Ls & R+Ls+\dfrac{1}{Cs} \end{array} \right]

\left[ \begin{array} \ I_1 & (s) \\ I_2 & (s) \end{array} \right]

=

\left[ \begin{array} -\dfrac{V}{S} \\ 0 \end{array} \right] $
$\left[ \begin{array} \ R+Ls+\dfrac{1}{Cs} & -Ls \\ -Ls & R+\dfrac{1}{Cs} \end{array} \right]

\left[ \begin{array} \ I_1 & (s) \\ I_2 & (s) \end{array} \right]

=

\left[ \begin{array} \ -\dfrac{V}{S} \\ 0 \end{array} \right] $
$\left[ \begin{array} \ R+Ls+\dfrac{1}{Cs} & -Ls \\ -Ls & R+Ls+\dfrac{1}{Cs} \end{array} \right]

\left[ \begin{array} \ I_1 & (s) \\ I_2 & (s) \end{array} \right]

=

\left[ \begin{array} \ \dfrac{V}{S} \\ 0 \end{array} \right] $
$\left[ \begin{array} \ R+Ls+\dfrac{1}{Cs} & -Ls \\ -Ls & R+Ls+\dfrac{1}{Cs} \end{array} \right]

\left[ \begin{array} \ I_1 & (s) \\ I_2 & (s) \end{array} \right]

=

\left[ \begin{array} \ -\dfrac{V}{S} \\ 0 \end{array} \right] $

Answer

Correct Option: A

Question 16

The circuit shown in the figure, with R = $\dfrac{1}{3}$$\Omega$, L = $\dfrac{1}{3}$H and C = 3 F has input voltage v (t) = sin 2t. The resulting current i(t) is

5 sin (2t + 53.1⁰)
5 sin (2t - 53.1⁰)
25 sin (2t + 53.1⁰)
25 sin (2t - 53.1⁰)

Answer

Correct Option: A

Question 17

If V_A - V_B = 6 V, then V_c - V_Dis

-5V
2V
3V
6V

Answer

Correct Option: A

Question 18

In the following circuit, switch S is closed at t = 0. The rate of change of current ^{$\dfrac{di}{dt} (0^+)$} is given by

0
^{$\dfrac{R_s I_s}{L}$}
^{$\dfrac{(R+R_s) I_s}{L}$}
^_$\infty$

Answer

Correct Option: B

Question 19

In the circuit shown, V_C is 0 volts at t = 0 sec. For t > 0, the capacitor current i_c (t) where t is in seconds, is given by

0.50 exp (-25t) mA
0.25 exp (-25t) mA
0.50 exp (-12.5t) mA
0.25 exp (-6.25t) mA

Answer

Correct Option: A

Question 20

The condition on R, L and C such that the step response y(t) in figure has no oscillations, is

$R \ge \dfrac{1}{2}\sqrt{\dfrac{L}{C}}$
$R \ge \sqrt{\dfrac{L}{C}}$
$R \ge 2\sqrt{\dfrac{L}{C}}$
$R \ge \dfrac{1}{\sqrt{LC}}$

Answer

Correct Option: C

Description: A test for Network Graphs of Electronics and Communication (ECE)
Number of Questions: 20
Created by: Yashbeer Singh
Tags: Network Graphs Coding Decoding Coding-Decoding Visual Reasoning Non-Verbal Reasoning Insert the Missing Number/Character Inserting the Missing Character GATE(ECE)

Test 3 - Network Graphs | Electronics and Communication (ECE)

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