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A short bar magnet having magnetic dipole moment M is moving along the axis of a fixed conducting (non magnetic) ring of radius R. The axis of the ring is along z direction. (a) Write the z component of magnetic field due to the magnetic dipole at a point P in the plane of the ring, at the instant the magnet is at a distance z from the centre of the ring. Position of point P can be defined in terms of angle `theta` as shown. (b) Write the magnetic flux through the ring due to the magnetic field produced by the magnet as a function of z. (c) Write the magnitude of emf induced in the ring at the instant shown if speed of the magnet at the moment is v. |
Answer» Correct Answer - (a) `b_(z)=(mu_(0))/(4pir^(3))[2 cos^(2) theta -sin^(2)theta]` (b) `phi=(mu_(0)MR^(2))/(2(R^(2)+z^(2))^(3//2))` (c) `E_("in")=(3mu_(0)MR^(2)vz)/(2(R^(2)+z^(2))^(5//2))` |
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