A magnetic field in a certain region is given by ` B = B_o cos (ωt)hat k` and a coil of radius a with resistance R is placed in the x-y plane with its centre at the origin in the magnetic field (see Fig ) . Find the magnitude and the direction of the current at (a, 0, 0) at t = π/2ω, t = π/ω and t = 3π/2ω.