1
GATE ECE 2026
MCQ (Single Correct Answer)
+2
-0.67

In the given circuit, $L=1 \mu \mathrm{H}$ and $C=1 \mu \mathrm{~F}$. The phasor diagram for $I_C$ and $I_L$ is also shown. Assume that the phase $\left(\theta_1+\theta_2\right)$ is $90^{\circ}$ at a frequency of 159.15 kHz . Among the following options, what is the nearest integer value of $R_C \times R_L$ ?

GATE ECE 2026 Network Theory - Sinusoidal Steady State Response Question 1 English

A

0

B

1

C

2

D

10

2
GATE ECE 2025
MCQ (Single Correct Answer)
+2
-0.67

In the circuit below, $M_1$ is an ideal AC voltmeter and $M_2$ is an ideal AC ammeter. The source voltage (in Volts) is $v_s(t)=100 \cos (200 t)$.

What should be the value of the variable capacitor $C$ such that the RMS readings on $M_1$ and $M_2$ are 25 V and 5 A , respectively?

GATE ECE 2025 Network Theory - Sinusoidal Steady State Response Question 7 English
A
$25 \mu \mathrm{~F}$
B
$4 \mu \mathrm{~F}$
C
$0.25 \mu \mathrm{~F}$
D
Insufficient information to find $C$
3
GATE ECE 2022
MCQ (Single Correct Answer)
+2
-0.67

For the circuit shown, the locus of the impedance Z(j$$\omega$$) is plotted as $$\omega$$ increases from zero to infinity. The values of R1 and R2 are :

GATE ECE 2022 Network Theory - Sinusoidal Steady State Response Question 9 English

A
R1 = 2 k$$\Omega$$, R2 = 3 k$$\Omega$$
B
R1 = 5 k$$\Omega$$, R2 = 2 k$$\Omega$$
C
R1 = 5 k$$\Omega$$, R2 = 2.5 k$$\Omega$$
D
R1 = 2 k$$\Omega$$, R2 = 5 k$$\Omega$$
4
GATE ECE 2022
MCQ (Single Correct Answer)
+2
-0.67

Consider the circuit shown in the figure with input V(t) in volts. The sinusoidal steady state current I(t) flowing through the circuit is shown graphically (where t is in seconds). The circuit element Z can be _________.

GATE ECE 2022 Network Theory - Sinusoidal Steady State Response Question 10 English

A
a capacitor of 1 F
B
an inductor of 1 H
C
a capacitor of $$\sqrt 3 $$F
D
an inductor of $$\sqrt 3 $$H

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