A circular coil of 50 turns and radius 5.0 cm is placed with its plane perpendicular to a magnetic field whose magnitude varies with time as
B(t)=0.20sin(100πt)T
where t is in seconds.
(i) Write an expression for the instantaneous emf induced in the coil.
(ii) Determine the root-mean-square (rms) value of the induced emf.
(iii) Calculate the instantaneous value of the emf at t=0.010s.