Two infinitely long straight wires lie in the xy - plane along the lines x = ± R . The wire located at x = + R carries a constant current I 1 and the wire located at x = - R carries a constant current I 2 . A circular loop of radius R is suspended with its centre at 0 , 0 3 R and in a plane parallel to the xy - plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the + j ^ direction. Which of the following statements regarding the magnetic field B → is (are) true?

If I 1 = I 2 , Then the z - component of the magnetic field at the centre of the loop is - μ 0 I 2 R

If I 1 < 0 a n d I 2 > 0 , t h e n B → can be equal to zero at the origin 0 , 0 , 0

Two concentric circular loops, one of radius R and the other of radius 2 R , lie in the x y -plane with the origin as their common center, as shown in the figure. The smaller loop carries current I 1 in the anti-clockwise direction and the larger loop carries current I 2 in the clockwise direction, with I 2 > 2 I 1 . B → x , y denotes the magnetic field at a point x , y in the x y -plane. Which of the following statement(s) is (are) correct?

B → x , y depends on x and y only through the radial distance r = x 2 + y 2

B → x , y is non-zero at all points for r < R

B → x , y points normally outward from the x y -plane for all the points between the two loops

Two infinitely long straight wires lie in the xy - plane along the lines x = ± R . The wire located at x = + R carries a constant current I 1 and the wire located at x = - R carries a constant current I 2 . A circular loop of radius R is suspended with its centre at 0 , 0 3 R and in a plane parallel to the xy - plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the + j ^ direction. Which of the following statements regarding the magnetic field B → is (are) true?

If I 1 = I 2 , Then the z - component of the magnetic field at the centre of the loop is - μ 0 I 2 R

If I 1 < 0 a n d I 2 > 0 , t h e n B → can be equal to zero at the origin 0 , 0 , 0

A uniform magnetic field B exists in the region between x = 0 and x = 3 R 2 (region 2 in the figure) pointing normally into the plane of the paper. A particle with charge + Q and momentum p directed along x -axis enters region 2 from region 1 at point P 1 y = - R . Which of the following option(s) is/are correct?

For B > 2 3 p Q R , the particle will re-enter region 1

For a fixed B , particles of same charge Q and same velocity v , the distance between the point P 1 and the point of re-entry into region 1 is inversely proportional to the mass of the particle

When the particle re-enters region 1 through the longest possible path in region 2 , the magnitude of the change in its linear momentum between point P 1 and farthest point from y -axis is p 2

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JEE Advanced

IMPORTANT

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A steady current $I$ flows along an infinitely long hollow cylindrical conductor of radius $R$ . This cylinder is placed co-axially inside an infinite solenoid of radius $2 R$ . The solenoid has $n$ turns per unit length and carries a steady current $I$ . Consider a point $P$ at a distance $r$ from the common axis. The correct statement(s) is(are):

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Important Questions on Magnetic Effects of Current and Magnetism

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Magnetic Effects of Current and Magnetism>JEE Advanced Paper 1 - 2021>Q 11

α

-particle (mass

4

amu) and a singly charged Sulphur ion (mass

32

amu) are initially at rest. They are accelerated through a potential

V

and then allowed to pass into a region of uniform magnetic field which is normal to the velocities of the particles. Within this region, the

α

-particle and the sulphur ion move in circular orbits of radii

R_{α}

and

R_{S}

, respectively. The ratio

(\frac{R_{S}}{R_{α}})

is __________ .

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Magnetic Effects of Current and Magnetism>JEE Advanced Paper 1 - 2020>Q 12

A circular coil of radius $R$ and $N$ turns has negligible resistance. As shown in the schematic figure, its two ends are connected to two wires and it is hanging by those wires with its plane being vertical. The wires are connected to a capacitor with charge $Q$ through a switch. The coil is in a horizontal uniform magnetic field $B_{o}$ parallel to the plane of the coil. When the switch is closed, the capacitor gets discharged through the coil in a very short time. By the time the capacitor is discharged fully, magnitude of the angular momentum gained by the coil will be (assume that the discharge time is so short that the coil has hardly rotated during this time)

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HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Magnetic Effects of Current and Magnetism>JEE Advanced Paper 1 - 2019>Q 13

Two identical moving coil galvanometer have

10 Ω

resistance and full scale deflection at

2 μ A

current. One of them is converted into a voltmeter of

100 m V

full scale reading and the other into an Ammeter of

1 m A

full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm's law experiment with

R = 1000 Ω

resistor by using an ideal cell. Which of the following statement(s) is/are correct?

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Magnetic Effects of Current and Magnetism>JEE Advanced Paper 1 - 2018>Q 14

Two infinitely long straight wires lie in the xy - plane along the lines

x = \pm R

. The wire located at

x = + R

carries a constant current

I_{1}

and the wire located at

x = - R

carries a constant current

I_{2}

. A circular loop of radius R is suspended with its centre at

(0, 0 \sqrt{3} R)

and in a plane parallel to the xy - plane. This loop carries a constant current

I

in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the

+ \hat{j}

direction. Which of the following statements regarding the magnetic field

\vec{B}

is (are) true?

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Magnetic Effects of Current and Magnetism>JEE Advanced Paper 1 - 2018>Q 15

In the

xy - plane

, the region

y > 0

has a uniform magnetic field

B_{1} \hat{k}

and the region

y < 0

has another uniform magnetic field

B_{2} \hat{k}

. A positively charged particle is projected from the origin along the positive

y - axis

with speed

v_{0} = π m s^{- 1}

t = 0

, as shown in the figure. Neglect gravity in this problem. Let

t = T

be the time when the particle crosses the

x - axis

from below for the first time. If

B_{2} = 4 B_{1}

, the average speed of the particle, in

m s^{- 1}

, along the

x - axis

in the time interval

T

is ________.

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HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Magnetic Effects of Current and Magnetism>JEE Advanced Paper 1 - 2017>Q 16

A charged particle is introduced at the origin

x = 0, y = 0, z = 0

with a given initial velocity

\vec{v}

. A uniform electric field

\vec{E}

and a uniform magnetic field

\vec{B}

exist everywhere. The velocity

\vec{v}

, electric field

\vec{E}

and a uniform magnetic field

\vec{B}

are given in the columns below

Column 1	Column 2	Column 3
1. Electron with $\vec{v} = 2 \frac{E_{0}}{B_{0}} \hat{x}$	(i) $\vec{E} = E_{0} \hat{z}$	(P) $\vec{B} = - B_{0} \hat{x}$
2. Electron with $\vec{v} = \frac{E_{0}}{B_{0}} \hat{y}$	(ii) $\vec{E} = - E_{0} \hat{y}$	(Q) $\vec{B} = B_{0} \hat{x}$
3.Proton with $\vec{v} = 0$	(iii) $\vec{E} = {- E}_{0} \hat{x}$	(R) $\vec{B} = B_{0} \hat{y}$
4. Proton with $\vec{v} = 2 \frac{E_{0}}{B_{0}} \hat{x}$	(iv) $\vec{E} = E_{0} \hat{x}$	(S) $\vec{B} = B_{0} \hat{z}$

In which case will the particle move in a straight line with a constant velocity?

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Magnetic Effects of Current and Magnetism>JEE Advanced Paper 1 - 2017>Q 17

A charged particle is introduced at the origin

x = 0, y = 0, z = 0

with a given initial velocity

\vec{v}

. A uniform electric field

\vec{E}

and a uniform magnetic field

\vec{B}

exist everywhere. The velocity

\vec{v}

, electric field

\vec{E}

and a uniform magnetic field

\vec{B}

are given in the columns below

Column 1	Column 2	Column 3
1. Electron with $\vec{v} = 2 \frac{E_{0}}{B_{0}} \hat{x}$	(i) $\vec{E} = E_{0} \hat{z}$	(P) $\vec{B} = - B_{0} \hat{x}$
2. Electron with $\vec{v} = \frac{E_{0}}{B_{0}} \hat{y}$	(ii) $\vec{E} = - E_{0} \hat{y}$	(Q) $\vec{B} = B_{0} \hat{x}$
3.Proton with $\vec{v} = 0$	(iii) $\vec{E} = {- E}_{0} \hat{x}$	(R) $\vec{B} = B_{0} \hat{y}$
4. Proton with $\vec{v} = 2 \frac{E_{0}}{B_{0}} \hat{x}$	(iv) $\vec{E} = E_{0} \hat{x}$	(S) $\vec{B} = B_{0} \hat{z}$

In which case will the particle describe a helical path with axis along positive z direction?

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 16 - Magnetic Effects of Current and Magnetism>JEE Advanced Paper 1 - 2017>Q 18

A charged particle is introduced at the origin

x = 0, y = 0, z = 0

with a given initial velocity

\vec{v}

. A uniform electric field

\vec{E}

and a uniform magnetic field

\vec{B}

exist everywhere. The velocity

\vec{v}

, electric field

\vec{E}

and a uniform magnetic field

\vec{B}

are given in the columns below

Column 1	Column 2	Column 3
1. Electron with $\vec{v} = 2 \frac{E_{0}}{B_{0}} \hat{x}$	(i) $\vec{E} = E_{0} \hat{z}$	(P) $\vec{B} = - B_{0} \hat{x}$
2. Electron with $\vec{v} = \frac{E_{0}}{B_{0}} \hat{y}$	(ii) $\vec{E} = - E_{0} \hat{y}$	(Q) $\vec{B} = B_{0} \hat{x}$
3.Proton with $\vec{v} = 0$	(iii) $\vec{E} = {- E}_{0} \hat{x}$	(R) $\vec{B} = B_{0} \hat{y}$
4. Proton with $\vec{v} = 2 \frac{E_{0}}{B_{0}} \hat{x}$	(iv) $\vec{E} = E_{0} \hat{x}$	(S) $\vec{B} = B_{0} \hat{z}$

In which case would the particle move in a straight line along the negative direction of y axis

Important Questions on Magnetic Effects of Current and Magnetism

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