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(Solved): ( 10 marks) A circular loop of wire with radius R lies in the x-y plane with its centre at the origi ...
( 10 marks) A circular loop of wire with radius R lies in the x-y plane with its centre at the
origin. There is a magnetic field B(r)=(b)/(r)hat(z), where r is in cylindrical co-ordinates and b does
not depend on any spatial co-ordinate.
(a) Find the magnetic flux \Phi _(B) through the loop.
(b) If the magnetic field becomes time dependent via b=b(t), find the induced EMFE(t) in
the loop using Faraday's law.
(c) If b(t)=sin(t) show that \Phi _(B)=0 at t=\pi . Find E at t=\pi and indicate on a diagram the
direction of the induced current at t=\pi .