1
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
The instantaneous voltages at three terminals marked $$X,Y$$ and $$Z$$ are given by

$${V_x} = {V_0}\,\sin \,\omega t,$$

$${V_Y} = {V_0}\,\sin$$ $$\left( {\omega t + {{2\pi } \over 3}} \right)$$

and $$Vz = {V_0}\sin \left( {\omega t + {{4\pi } \over 3}} \right)$$

An ideal voltmeter is configured to read $$rms$$ value of the potential difference between its terminals. It is connected between points $$X$$ and $$Y$$ and then between $$Y$$ and $$Z.$$ The reading(s) of the voltmeter will be
A
$$V_{xy}^{rms} = {V_0}\sqrt {{3 \over 2}}$$
B
$$V_{YZ}^{rms} = {V_0}\sqrt {{1 \over 2}}$$
C
$$V_{XY}^{rms} = {V_0}$$
D
Independent of the choice of the two terminals
2
JEE Advanced 2017 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
In the circuit shown, $$L = 1\,\mu H,C = 1\,\mu F\,$$ and $$R = 1\,k\Omega .$$ They are connected in series with an a.c. source $$V = {V_0}\sin \omega t$$ as shown.

Which of the following options is/are correct?

A
The current will be in phase with the voltage if $$\omega = {10^4}$$ $$rad.{s^{ - 1}}$$
B
The frequency at which the current will be in phase with the voltage is independent of $$R$$
C
At $$\omega \sim 0$$ the current flowing through the circuit becomes nearly zero
D
At $$\omega > > {10^6}rad.{s^{ - 1}},$$ the circuit behaves like a capacitor
3
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+3
-0
At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I(t) = I0 cos ($$\omega$$t), with I0 = 1 A and $$\omega$$ = 500 rad s-1 starts flowing in it with the initial direction shown in the figure. At $$t = {{7\pi } \over {6\omega }}$$, the key is switched from B to D. Now onwards only A and D are connected. A total charge Q flows from the battery to charge the capacitor fully. If C = 20 $$\mu$$F, R = 10 $$\Omega$$ and the battery is ideal with emf of 50 V, identify the correct statement(s).

A
Magnitude of the maximum charge on the capacitor before $$t = {{7\pi } \over {6\omega }}$$ is 1 $$\times$$ 10$$-$$3 C
B
The current in the left part of the circuit just before $$t = {{7\pi } \over {6\omega }}$$ is clockwise
C
Immediately after A is connected to D, the current in R is 10 A
D
Q = 2 $$\times$$ 10$$-$$3 C
4
IIT-JEE 2012 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2

In the given circuit, the AC source has $$\omega$$ = 100 rad/s. Considering the inductor and capacitor to be ideal, the correct choice(s) is(are)

A
The current through the circuit, I is 0.3 A.
B
The current through the circuit, I is 0.3$$\sqrt2$$ A.
C
The voltage across 100 $$\Omega$$ resistor = 10$$\sqrt2$$ V.
D
The voltage across 50 $$\Omega$$ resistor = 10 V.
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