A rectangular loop with dimensions a x b is placed a distance d from a long, straight wire carrying current I.
(a) Determine the total flux through the rectangular loop.
(b) If the current in the long wire is increased steadily at a rate of dI/dt = k > 0, determine the induced emf in the loop.
(c) If the loop has a total resistance of R, determine the magnitude and direction of the induced current.