Problem 2 - A circular loop of wire with radius r = 0.0250 m and resistance R = 0.390 ̐ is in a region of spatially uniform magnetic field, as shown in Figure 2. The magnetic field is directed into the plane of the figure. At t=0, B=0. The magnetic field then begins increasing, with B(t) = (0.380 T/s³) t³.
(a) What is the direction of the induced current in the loop (clockwise or counter-clockwise?) and why?
(b) What is the current in the loop (magnitude and direction) at the instant when B = 1.33 T?
(c) What is the rate at which electrical energy is being dissipated by the resistance of the loop?
Figure 2