Problem 5: (10 marks) A stationary coil of area A = 10 cm² is at rest in a magnetic field. The coil has N = 20 turns and its plane is perpendicular to the magnetic field. The magnetic field strength continuously increases with time as B_r = B_o / t, where t_o = 1 s, and B_o = 1 T.
i) Show that the magnetic flux linkage through the coil is given by the following expression:
Φ = B_o * A * ln(t / t_o)
ii) Calculate the value of B_o.
iii) Find the value of the induced e.m.f. across the ends of the coil at t = 10 s.