The magnetic moment of two bar magnets are M 1 → and M 2 → . If angle between them is θ , then what is the magnitude of resultant magnetic moment.

M 1 2 + M 2 2 + 2 M 1 M 2 cos θ

M 1 2 + M 2 2 + 2 M 1 M 2 sin θ

M 1 2 + M 2 2 - 2 M 1 M 2 sin θ

M 1 2 + M 2 2 - 2 M 1 M 2 cos θ

The magnetic moment of two bar magnets are M 1 → and M 2 → . If angle between them is θ , then what is the magnitude of resultant magnetic moment.

M 1 2 + M 2 2 + 2 M 1 M 2 cos θ

The magnetic moment of two bar magnets are M 1 → and M 2 → . If angle between them is θ , then write the value of resultant magnetic moment.

Given, Magnetic moment of two bar magnet is M 1 a n d M 2 Angle between them is θ Therefore, Resultant magnetic moment= M 1 2 + M 2 2 + 2 M 1 M 2 C o s θ This is our required answer.

The pole strength of poles of a bar magnet of effective length 0 . 1 m is 40 A - m . Calculate it's magnetic moment.

We know that, Pole strength is a quantity corresponding to the amount of magnetic flux emanating from a given magnetic pole and expressed in terms of the unit magnetic pole. and Magnetic moment is the property of a magnet that interacts with an applied field to give a mechanical moment. According to question Pole strength, m = 40 A m effective length, 2 l = 0 . 1 m Magnetic moment, M = m ( 2 l ) M = 40 × 0 . 1 M = 4 A m 2

EASY

Earn 100

The magnetic moment of two bar magnets are $\vec{M_{1}}$ and $\vec{M_{2}}$ . If angle between them is $θ$ , then what is the magnitude of resultant magnetic moment.

50% studentsanswered this correctly

Important Questions on Matter and Magnetism

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

A large magnet is broken into two pieces so that their lengths are in the ratio

1 : 2

. The ratio of their magnetic moments is

HARD

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their respective axes. But the magnetic moment of hoop is twice of solid cylinder. They are placed in a uniform magnetic field in such a manner that their magnetic moments make a small angle with the field. If the oscillation periods of hoop and cylinder are

T_{h}

and

T_{c}

respectively, then:

HARD

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

A bar magnet of length

14 cm

is placed in the magnetic meridian with its north pole pointing towards the geographic north pole. A neutral point is obtained at a distance of

18 cm

from the center of the magnet. If

B_{H} = 0.4 G

, the magnetic moment of the magnet is

(1 G = 10^{- 4} T)

HARD

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

What is magnetic dipole moment? Derive the expression for torque on a bar magnet placed in a uniform magnetic field.

MEDIUM

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

An insulating thin rod of length

l

has a linear charge density

ρ (x) = ρ_{0} \frac{x}{l}

on it. The rod is rotated about an axis passing through the origin

(x = 0)

and perpendicular to the rod. If the rod makes

n

rotations per second, then the time averaged magnetic moment of the rod is:

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

The magnetic moment of two bar magnets are

\vec{M_{1}}

and

\vec{M_{2}}

. If angle between them is

θ

, then write the value of resultant magnetic moment.

MEDIUM

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

A thin rod of length

L

is magnetized and has magnetic moment

M

. The rod is then bent in a semicircular arc. The magnetic moment in the new shape is

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

What is the magnitude of the equatorial fields due to a bar magnet of length

5.0 cm

at a distance

75 cm

from its mid point? The magnetic moment of the bar magnet is

0.75 A m^{2}

HARD

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

Two short bar magnets of length

1 cm

each have magnetic moments

1 .20 A m^{2}

and

1 .00 A m^{2}

respectively. They are placed on a horizontal table parallel to each other with their

N

poles pointing towards the south. They have a common magnetic equator and are separated by a distance of

20 .0 cm

. The value of the resultant horizontal magnetic induction at the mid-point

O

of the line joining their centres is close to
( Horizontal component of earth's magnetic induction is

3 .6 \times 10^{- 5} Wb m^{- 2}

)

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

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>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

Write SI unit of magnetic dipole moment..

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

A circular coil having

N

turns and radius

r

carries a current

I .

It is held in the

X Z

plane in a magnetic field

B \hat{i}

. The torque on the coil due to the magnetic field is:

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

A straight steel wire of length

l

has magnetic moment

m

. If the wire is bent in the form of a semicircle, what is the new value of the magnetic dipole moment?

MEDIUM

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

A long magnetic needle of length

2 l

magnetic moment

M

and pole strength

m

is broken into two pieces at the middle. The magnetic moment and pole strength of each piece will be

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

A bar magnet of magnetic moment

M

is bent to form a semicircle. What is the magnetic moment of the bent magnet?

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

The pole strength of poles of a bar magnet of effective length

0.1 m

40 A - m

. Calculate it's magnetic moment.

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

The magnetic dipole moment of a short magnetic dipole at a distant point along the equator of magnet has a magnitude of

X

in SI units. If the distance between point and the magnet is halved then the magnitude of dipole moment will be

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

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:

HARD

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

The magnetic flux near the axis and inside the air-core solenoid of length

60 cm

carrying current

I

1.57 \times 10^{6} Wb .

Its magnetic moment will be (cross-sectional area of a solenoid is very small as compared to its length,

μ_{0} = 4 π \times 10^{- 7}

SI units)

EASY

Physics>Electricity and Magnetism>Matter and Magnetism>Change in Dipole Moment of a Bar Magnet After Being Cut

The magnetic induction at distance of

0.1 m

from a strong magnetic pole of strength

1200 A m

The magnetic moment of two bar magnets are M1→ and M2→. If angle between them is θ, then what is the magnitude of resultant magnetic moment.

Important Questions on Matter and Magnetism

Learn and Prepare for any exam you want !

The magnetic moment of two bar magnets are $\vec{M_{1}}$ and $\vec{M_{2}}$ . If angle between them is $θ$ , then what is the magnitude of resultant magnetic moment.