A square wire with side a = 0.055 m is in a time-varying magnetic field with magnitude B(t) = At, where A = 0.35 T/s. The plane in which the square is located has an angle ? with the direction of B, as shown.

A) Express the magnitude of the magnetic flux going through the loop, ?, in terms of A, t, a and ?.

B) Express the derivative of the flux with respect of time, d?/dt. C) Express the magnitude of the emf induced in the loop,?, in terms ofA,a, and?. D) Calculate the numerical value of ? when ? = 0, in volts. E) Calculate the numerical value of?when?= 90, in volts. F) Calculate the numerical value of ? when ? = 30, in volts.