A 30-turn circular coil of radius 4.00 cm and resistance 1.00 (is placed in a magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies in time according to the expression

B = 0.0100t + 0.0400t2 , where t is in seconds and B is in tesla. Calculate the induced emf in the coil at t = 5.00 s (8 marks)