5. A square wire loop with sides of length a is positioned a
distance 2a from a long straight wire carrying a current I so that
one side of the loop is parallel to the wire. The loop is then
pulled radially away from the wire at a speed of v.
a. Find the flux of the magnetic field of the wire through the square loop when the loop is a distance s from the wire.
b. Find the rate of change of flux through the loop as it is pulled away from the wire.
c. If the resistance of the wire in the loop is R, find the current I2 that flows in the loop.
d. Find the force required to pull the loop at constant velocity, and use this to find the rate at which this force does work. Show that this is equal to (I2)^2R, the power dissipated by Joule heat in the loop.