A circular coil with 200 turns has a radius of 2.0 cm. (a) What current through the coil results in a magnetic dipole moment of 3.0 Am2 ? (b) What is the maximum torque that the coil will experience in a uniform field of strength ? (c) If the angle between µ and B is 45°, what is the magnitude of the torque on the coil? (d) What is the magnetic potential energy of coil for this orientation?
N = 200
r = 2 cm = 0.02 m
a) = magnetic dipole moment = .
also, = current * area * number of turns = i * area * N
b) B = magnetic field
Torque of a magnetic dipole in uniform magnetic field is given by
[theta = angle between B and magneitc moment or area vector ]
therefore, maximum torque experienced when theta equals 90 degree,
c) if theta = 45 degree, then
d) Magnetic potential energy is given by
Magnetic potential energy for this orientation is [answer]
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