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The magnetic dipole moment of a current loop is independent of

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Important Questions on Magnetic Effect of Current

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A proton is revolving on a circular path of radius

2 mm

with frequency

10 Hz

. Magnetic dipole moment associated with proton is

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

An iron rod of volume

10^{- 3} m^{3}

and relative permeability

1000

is placed as core in a solenoid with

10 turns {cm}^{- 1}

. If a current of

0.5 A

is passed through the solenoid, then the magnetic moment of the rod will be :

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

The ratio of angular momentum

L

to the atomic dipole moment

μ_{i}

for hydrogen like atoms and ions is

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

Magnetic moment of revolving electron of charge

e

and mass

m

in terms of angular momentum

L

of electron is

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A square loop is carrying a steady current

I

and the magnitude of its magnetic dipole moment is

m

. If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop will be:

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

The ratio of the magnetic field at the centre of a current-carrying circular coil to magnetic moment is $x$ . If the current and the radius both are doubled. The new ratio will become

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A wire of length

L

metre carrying a current of

I

ampere is bent in the form of a circle. Its magnetic moment is,

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A uniform conducting wire of length $12 a$ and resistance $R$ is wound up as a current-carrying coil in the shape of,

(i) an equilateral triangle of side $a$ .
(ii) a square of side $a$ .
The magnetic dipole moments of the coil in each case respectively are:

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole

\vec{m} .

Which configuration has highest net magnetic dipole moment?

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

Torque acting on a rectangular coil carrying current

i

situated parallel to magnetic field of induction

B

, having the number of turns

n

and area

A

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

Two particles, each of mass

m

and charge

q

are attached to the two ends of a light rigid rod of length

2 R

. The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod is

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

The magnetic moment of electron due to orbital motion is proportional to (

n

= principal quantum numbers)

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

The magnetic field at the centre of a circular loop of area

A

B

. The magnetic moment of the loop will be,

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

In a permanent magnet at room temperature

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A particle of mass $M$ and charge $q$ is moving in a circle of radius $R$ with speed $v$ , where $v ≪$ speed of light. The ratio of the magnetic moment of the particle to its angular momentum is

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A wire of length

L

m

carrying a current

I A

is bent in the form of a circle. Magnitude of its magnetic moment is

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A uniform conducting wire of length is

24 a,

and resistance

R

is wound up as a current carrying coil in the shape of an equilateral triangle of side

a

and then in the form of a square of side

a

. The coil is connected to a voltage source

V_{0} .

The ratio of magnetic moment of the coils in case of equilateral triangle to that for square is

1 : \sqrt{y}

where

y

is ____________.

HARD

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A wire carrying current $I$ is bent in the shape $ABCDEFA$ as shown, where rectangle $ABCDA$ and $ADEFA$ are perpendicular to each other. If the sides of the rectangles are of lengths $a$ and $b$ , then the magnitude and direction of magnetic moment of the loop $ABCDEFA$ is :

Question Image

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is

B_{1}

. When the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is

B_{2}

. The ratio

\frac{B_{1}}{B_{2}}

is:

EASY

Physics>Electricity and Magnetism>Magnetic Effect of Current>Current Carrying Loop as a Magnetic Dipole

A charge

q

is spread uniformly over an insulated loop of radius

r

. If it is rotated with an angular velocity

ω

with respect to normal axis then magnetic moment of the loop is:

The magnetic dipole moment of a current loop is independent of

Important Questions on Magnetic Effect of Current

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