A uniform magnetic field is established perpendicular to the plane of a loop that has a radius equal to 5.00 cm and a resistance equal to 0.400 Ω. The magnitude of the field is increasing at a rate of 40.0 mT/s. Discover (a) the induced current in the loop, (b) the magnitude of the induced emf in the loop, and (c) the rate of Joule heating in the loop.