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?
A
$25 \mu \mathrm{~F}$
B
$4 \mu \mathrm{~F}$
C
$0.25 \mu \mathrm{~F}$
D
Insufficient information to find $C$
2
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 :
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$$\Omega$$
3
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 _________.
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
4
GATE ECE 2018
MCQ (Single Correct Answer)
+2
-0.67
For the circuit given in the figure, the voltage
VC
(in volts) across the capacitor is :