Work out the magnetic field at the center of the square loop of side a2)through which the steady current I is flowing. Note that you must derive the magnetic field

for the side along the x-axis (side 1), by using the Biot-Savart-Law, but you may reason about the contribution of the other sides based on the result you will find for side(a) How does the magnetic field at the center of the square loop compare to that of a(b)circular loop with the diameter equal to the diagonal of the square through which the same current I is passing? Explain the difference. What would have to be the relation between the current I in the square loop and(c)the current I, that would have to pass through the circular loop (placed on top so as to have the same center) in order for the net magnetic field at the center to be zero? The