Answer:
(N x π x r^2 x Cosθ) / R x dB(t) / dt
Explanation:
radius = r , Number of turns = N, B = B(t), Angle = θ, Resistance = R
induced emf = rate of change of magnetic flux
e = - N x dΦ / dt
e = - N x d(B A Cosθ) / dt
e = - N x A x Cosθ x dB(t) / dt
e = - N x π x r^2 x Cosθ x dB(t) / dt
where, negative sign shows the direction of induced emf in the coil.
induced current, i = induced emf / resistance
i = - (N x π x r^2 x Cosθ) / R x dB(t) / dt