A coil of 150 turns, each of area 80cm2, is fixed with its plane perpendicular to a uniform magnetic field whose magnitude varies with time as B(t)=0.50sin(120πt)T, where t is in seconds.
a. (i) Obtain an expression for the instantaneous emf induced in the coil as a function of time.
b. (ii) Calculate the maximum (peak) value of the induced emf.
c. (iii) Find the induced emf at t=5.0ms.