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Moving Charges And Magnetism

Question

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A short bar magnet of magnetic moment 0.4 JT^-1 is placed in a uniform magnetic field of 0.16T. The magnet is stable equilibrium when the potential energy is

-0.64 J

zero

-0.082 J

0.064 J

Solution

D.

0.064 J

We know that
U = - MB cos θ
For stable equilibrium θ = 0^o
So, U = - MB

=- (0.4)(.16) = - 0.064 J

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.

Answer the following questions:
A charged particle enters an environment of a strong and non-uniform magnetic field varying from point to point both in magnitude and direction, and comes out of it following a complicated trajectory. Would its final speed equal the initial speed if it suffered no collisions with the environment?

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