A spatially uniform magnetic field B changes with time and induces an electric field E in a region of three-dimensional space containing the origin. The electric field is E = k(sin theta, cos theta) N/C at the point (x, y, z), where theta = arctan(y/x), and k = 5.3.
(a) Determine the rate of change of the magnetic flux through the circle x2 + y2 = 4.0 m2 in the xy plane? Suppose that the area normal points in the positive z direction.
(b) Assuming that the flux is zero at time t = 0 second, determine the flux through the circle when t = 10 second?
(c) Find what is the magnetic field strength at t = 10 second?