A magnet 10 cm long has a pole strength of 12 Am. Find the magnitude of magnetic field strength B at a point on its at a distance of 20 cm from it's mid point on axial line. What would be the value of B, if the point were to lie at the same distance on equatorial line of magnet ?

Solution

Here,
Length of magnet, 2l = 10 cm = 0.1 m

Magnetic moment, m = 12 Am

Distance of point from the mid point of axial line, d = 20 cm =0.2 m

Magnetic field on the axial line,
$B_{ax} = \frac{μ_{0}}{4 π} \times \frac{2 md}{(d^{2} - l^{2})^{2}}$

i.e., $B_{a x i a l} = \frac{μ_{0} 2.2 m l d}{4 π (d^{2} - l^{2})^{2}} = \frac{μ_{0} 4 m l d}{4 π (d^{2} - l^{2})^{2}} = \frac{4 π \times 10^{- 7} \times 4 \times 12 \times 0.05 \times 0.2}{4 π {[(0.2)^{2} - (0.05)^{2}]}^{2}}$

$∴$ $B_{1} = 3.4 \times 10^{- 5} T$

At the same distance, on equatorial line, we have

$B_{eq} = \frac{1}{2} B_{ax}$

$B_{2} = \frac{1}{2} \times 3.4 \times 10^{- 5} T = 1.7 \times 10^{- 5} T$

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A bar magnet of magnetic moment 1.5 JT^–1 lies aligned with the direction of a uniform magnetic field of 0.22 T.
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Magnetism And Matter

A magnet 10 cm long has a pole strength of 12 Am. Find the magnitude of magnetic field strength B at a point on its at a distance of 20 cm from it's mid point on axial line. What would be the value of B, if the point were to lie at the same distance on equatorial line of magnet ?

Some More Questions From Magnetism and Matter Chapter

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?

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Magnetism And Matter

A magnet 10 cm long has a pole strength of 12 Am. Find the magnitude of magnetic field strength B at a point on its at a distance of 20 cm from it's mid point on axial line. What would be the value of B, if the point were to lie at the same distance on equatorial line of magnet ?

Some More Questions From Magnetism and Matter Chapter

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

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?