A circular loop of wire of radius a is placed in a uniform magnetic field, with the plane of the loop perpendicular to the direction of the field, as shown in Figure 2 below. x x x X x X X Xx x x x x X Figure 2: Loop in Field Varying in Time The magnetic field varies with time according to B (t) = B +bt , where B, and b are positive constants. (a) Calculate the magnetic flux through the loop at / = 0. (b) Calculate the induced emf in the loop.

A circular loop of wire of radius a is placed in a uniform magnetic field, with the plane of the loop perpendicular to the direction of the field, as shown in Figure 2 below. x x x X x X X Xx x x x x X Figure 2: Loop in Field Varying in Time The magnetic field varies with time according to B (t) = B +bt , where B, and b are positive constants. (a) Calculate the magnetic flux through the loop at / = 0. (b) Calculate the induced emf in the loop.