A metal rectangular loop (height h and width w) with resistance R is fixed in place with one-third of its length located inside a region of space where there is a time-varying magnetic field B=B0−bt pointing out of the page.
a) Determine the magnitude and direction of the current I(t) induced in the loop.
b) If the loop were not fixed in place, it would move due to the magnetic force exerted on it by the external magnetic field. What is the magnitude of the magnetic force felt by the loop? What direction would the loop move towards, if it were not fixed in place?
c) Determine the torque on the loop about its center of mass due to the magnetic field.
