A 23-turn circular coil of radius 4.80 cm and resistance 1.00 Ω 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* = 0.010 0*t* + 0.040 0*t*^{2}, where *B* is in teslas and *t* is in seconds. Calculate the induced emf in the coil at *t* = 4.20 s.