A magnet having a magnetic moment of 1.0 x 104 J/T is free to rotate in a horizontal plane where a magnetic field 4 x 10^–5 T exists. Find the work done in rotating the magnet slowly from a direction parallel to the field to a direction 60° from the field.

Solution

Given,
Magnetic moment, M = 1.0 x 10⁴ J/T

$θ_{1} = 0 °, θ_{2} = 60 °$

Magnetic field, $B = 4 \times 10^{- 5} T$
Using the formula for work done,

$W = - MB (\cos θ_{2} - \cos θ_{1})$

$= - 1.0 \times 10^{4} \times 10^{- 5} (\cos 60 ° - \cos 0 °) = - 0.4 (\frac{1}{2} - 1) = 0.2 J .$

Some More Questions From Magnetism and Matter Chapter

Answer the following question:
The earth's magnetic field varies from point to point in space. Does it also change with time? If so, on what time scale does it change appreciably?

Answer the following question:
The earth's core is known to contain iron. Yet geologists do not regard this as a source of the earth's magnetism. Why?

Answer the following question:
The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism. What might be the ‘battery’ (i.e., the source of energy) to sustain these currents?

Answer the following question:
The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past?

Answer the following question:
The earth’s field departs from its dipole shape substantially at large distances (greater than about 30,000 km). What agencies may be responsible for this distortion?

For Daily Free Study Material Join wiredfaculty

Magnetism And Matter

A magnet having a magnetic moment of 1.0 x 104 J/T is free to rotate in a horizontal plane where a magnetic field 4 x 10^–5 T exists. Find the work done in rotating the magnet slowly from a direction parallel to the field to a direction 60° from the field.

Some More Questions From Magnetism and Matter Chapter

Answer the following question:
The earth's magnetic field varies from point to point in space. Does it also change with time? If so, on what time scale does it change appreciably?

Answer the following question:
The earth's core is known to contain iron. Yet geologists do not regard this as a source of the earth's magnetism. Why?

Answer the following question:
The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism. What might be the ‘battery’ (i.e., the source of energy) to sustain these currents?

Answer the following question:
The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past?

Answer the following question:
The earth’s field departs from its dipole shape substantially at large distances (greater than about 30,000 km). What agencies may be responsible for this distortion?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Magnetism And Matter

A magnet having a magnetic moment of 1.0 x 104 J/T is free to rotate in a horizontal plane where a magnetic field 4 x 10–5 T exists. Find the work done in rotating the magnet slowly from a direction parallel to the field to a direction 60° from the field.

Some More Questions From Magnetism and Matter Chapter

Answer the following question:The earth's magnetic field varies from point to point in space. Does it also change with time? If so, on what time scale does it change appreciably?

Answer the following question:The earth's core is known to contain iron. Yet geologists do not regard this as a source of the earth's magnetism. Why?

Answer the following question:The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism. What might be the ‘battery’ (i.e., the source of energy) to sustain these currents?

Answer the following question:The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past?

Answer the following question:The earth’s field departs from its dipole shape substantially at large distances (greater than about 30,000 km). What agencies may be responsible for this distortion?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A magnet having a magnetic moment of 1.0 x 104 J/T is free to rotate in a horizontal plane where a magnetic field 4 x 10^–5 T exists. Find the work done in rotating the magnet slowly from a direction parallel to the field to a direction 60° from the field.

Answer the following question:
The earth's magnetic field varies from point to point in space. Does it also change with time? If so, on what time scale does it change appreciably?

Answer the following question:
The earth's core is known to contain iron. Yet geologists do not regard this as a source of the earth's magnetism. Why?

Answer the following question:
The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism. What might be the ‘battery’ (i.e., the source of energy) to sustain these currents?

Answer the following question:
The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past?

Answer the following question:
The earth’s field departs from its dipole shape substantially at large distances (greater than about 30,000 km). What agencies may be responsible for this distortion?