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Moving Charges And Magnetism

Question

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A magnetic dipole is situated in the direction of a magnetic field. What is its potential energy? If it is rotated by 180°, then what amount of work will be done?

Solution

Given, magnetic dipole is situated in the direction of magnetic field. Therefore $θ = 0^{o}$ .
Therefore,
Potential energy of dipole, P.E = – MB cos 0°
= – MB

If the dipole is rotated by an angle of 180°.
Work done = MB (cos 0° – cos 180°)
= MB (1 + 1)
= 2 MB.

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Some More Questions From Moving Charges And Magnetism Chapter

Two moving coil meters, M₁ and M₂ have the following particulars:
R₁ = 10 Ω N₁ = 30,
A₁ = 3.6 x 10^–3 m², B₁ = 0.25 T
R₂ = 14 Ω; N₂ = 42,
A₂ = 1.8 x 10^–3 m², B₂ = 0.50 T
(The spring constants k are identical for the two meters).
Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M₂ and M_1.

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