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 = I 0 cos ω t , with I 0 = 1 A and ω = 500 rad s - 1 starts flowing in it with the initial direction shown in the figure. At t = 7 π 6 ω , 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 μ F , R = 10 Ω and the battery is ideal with of 50 V , identify the correct statement(s).

Magnitude of the maximum charge on the capacitor before t = 7 π 6 ω is 1 × 10 - 3 C .

The current in the left part of the circuit just before t = 7 π 6 ω is clockwise.

In the circuit shown, initially there is no charge on capacitors and keys S 1 and S 2 are open. The values of the capacitors are C 1 = 10 μ F , C 2 = 30 μ F and C 3 = C 4 = 80 μ F . Which of the statement(s) is/are correct?

If key S 1 is kept closed for long time such that capacitors are fully charged, the voltage across the capacitors C 1 will be 4 V .

If key S 1 is kept closed for long time such that capacitors are fully charged, the voltage difference between points P and Q will be 10 V .

The keys S 1 is kept closed for long time such that capacitors are fully charged. Now key S 2 is closed, at this time, the instantaneous current across 30 Ω resistor (between points P and Q ) will be 0.2 A (round off to 1 s t decimal place).

A conducting wire of parabolic shape, initially y = x 2 , is moving with velocity V → = V 0 i ^ in a non-uniform magnetic field B → = B 0 1 + y L β k ^ , as shown in figure. If V 0 , B 0 , L and β are positive constants and Δ ϕ is the potential difference developed between the ends of the wire, then the correct statement(s) is/are:

Δ ϕ remains the same if the parabolic wire is replaced by a straight wire, y = x initially, of length 2 L

Δ ϕ = 1 2 B 0 V 0 L for β = 0

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At time $t = 0$ , terminal $A$ in the circuit shown in the figure is connected to $B$ by a key and an alternating current $I (t) = I_{0} \cos (ω t)$ , with $I_{0} = 1 A$ and $ω = 500 rad s^{- 1}$ starts flowing in it with the initial direction shown in the figure. At $t = \frac{7 π}{6 ω}$ , 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 $C = 20 μ F, R = 10 Ω$ and the battery is ideal with of $50 V$ , identify the correct statement(s).

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Important Questions on Electromagnetic Induction and Alternating Currents

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 17 - Electromagnetic Induction and Alternating Currents>JEE Advanced Paper 2 - 2020>Q 2

The inductors of two $L R$ circuits are placed next to each other, as shown in the figure. The values of the self-inductance of the inductors, resistances, mutual-inductance and applied voltages are specified in the given circuit. After both the switches are closed simultaneously, the total work done by the batteries against the induced $E M F$ in the inductors by the time the currents reach their steady-state values is_______ $mJ$ .

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 17 - Electromagnetic Induction and Alternating Currents>JEE Advanced Paper 2 - 2019>Q 3

10 c m

long perfectly conducting wire

P Q

is moving, with a velocity

1 c m / s

on a pair of horizontal rails of zero resistance. One side of the rails is connected to an inductor

L = 1 m H

and a resistance

R = 1 Ω

as shown in figure. The horizontal rails,

L

and

R

lie in the same plane with a uniform magnetic field

B = 1 T

perpendicular to the plane. If the key

S

is closed at certain instant, the current in the circuit after

1

milli second is

x \times 10^{- 3} A,

where the value of

x

is_______.
[Assume the velocity of wire

P Q

remains constant

(1 c m / s)

after key

S

is closed. Given:

e^{- 1} = 0.37,

where

e

is base of the natural logarithm]

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 17 - Electromagnetic Induction and Alternating Currents>JEE Advanced Paper 2 - 2017>Q 4

A source of constant voltage

V

is connected to a resistance

R

and two ideal inductors

L_{1}

and

L_{2}

through a switch

S

as shown. There is no mutual inductance between the two inductors. The switch

S

is initially open. At

t = 0

, the switch is closed and current begins to flow. Which of the following options is/are correct?

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 17 - Electromagnetic Induction and Alternating Currents>JEE Advanced Paper 2 - 2017>Q 5

The instantaneous voltages at three terminals marked

X, Y

and

Z

are given by

V_{X} = V_{0} \sin ω t

V_{Y} = V_{0} \sin (ω t + \frac{2 π}{3})

and

V_{Z} = V_{0} \sin (ω t + \frac{4 π}{3}) .

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

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 17 - Electromagnetic Induction and Alternating Currents>JEE Advanced Paper 2 - 2016>Q 7

A rigid wire loop of square shape having side of length

L

and resistance

R

is moving along the x-axis with a constant velocity

v_{0}

in the plane of the paper. At

t = 0

, the right edge of the loop enters a region of length

3 L

where there is a uniform magnetic field

B_{0}

into the plane of the paper, as shown in the figure. For sufficiently large

v_{0},

the loop eventually crosses the region. Let

x

be the location of the right edge of the loop. Let

v (x)

I (x)

and

F (x)

represent the velocity of the loop, current in the loop, and force on the loop, respectively, as a function of

x

. Counter-clockwise current is taken as positive.

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Which of the following schematic plot(s) is(are) correct ? (Ignore gravity)

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 17 - Electromagnetic Induction and Alternating Currents>JEE Advanced Paper 2 - 2016>Q 8

In the circuit shown below, the key is pressed at time $t = 0$ . Which of the following statement(s) is(are) true?
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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 17 - Electromagnetic Induction and Alternating Currents>JEE Advanced Paper 1 - 2021>Q 12

A long straight wire carries a current, $I = 2$ ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails are parallel to the wire. The wire, the rod and the rails lie in the same horizontal plane, as shown in the figure. Two ends of the semi-circular rod are at distances $1 cm$ and $4 cm$ from the wire. At time $t = 0$ , the rod starts moving on the rails with a speed $v = 3.0 m s^{- 1}$ (see the figure).

A resistor $R = 1.4 Ω$ and a capacitor $C_{0} = 5.0 μF$ are connected in series between the rails. At time $t = 0$ , $C_{0}$ is uncharged. Which of the following statement(s) is (are) correct? [ $μ_{0} = 4 π \times 10^{- 7}$ SI units. Take $\ln 2 = 0.7$ ]

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HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 17 - Electromagnetic Induction and Alternating Currents>JEE Advanced Paper 1 - 2020>Q 13

A light disc made of aluminium (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong magnet is held vertically at a point above the disc away from its axis. On revolving the magnet about the axis of the disc, the disc will (figure is schematic and not drawn to scale)

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Important Questions on Electromagnetic Induction and Alternating Currents

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