A circular coil with a radius a, resistance R, and self-inductance L has N turns. The coil is put in a uniform magnetic field B, and rotates around an axis which is normal to B. When the coil rotates around the axis with a constant angular velocity w. Find (a) the current induced in the coil as a function of the angle 0, where 0(t) = at is the included angle between the normal direction of the coil surface i and the magnetic field B. (b) in order to maintain the rotation of the coil with the angular velocity, what is the magnitude of external torque exerted on it? op B
A circular coil with a radius a, resistance R, and self-inductance L has N turns. The coil is put in a uniform magnetic field B, and rotates around an axis which is normal to B. When the coil rotates around the axis with a constant angular velocity w. Find (a) the current induced in the coil as a function of the angle 0, where 0(t) = at is the included angle between the normal direction of the coil surface i and the magnetic field B. (b) in order to maintain the rotation of the coil with the angular velocity, what is the magnitude of external torque exerted on it? op B
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Transcribed Image Text:A circular coil with a radius a, resistance R, and self-inductance L has N
turns. The coil is put in a uniform magnetic field B, and rotates around an
axis which is normal to B. When the coil rotates around the axis with a
constant angular velocity w. Find
(a) the current induced in the coil as a function of the angle 0, where 0(1) =
at is the included angle between the normal direction of the coil surface i
and the magnetic field B.
(b) in order to maintain the rotation of the coil with the angular velocity,
what is the magnitude of external torque exerted on it?
12
B
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