Two circular current loops lie parallel to the x-y plane and are separated by a short distance along z. The currents through the loops are positive if they are counterclockwise as viewed from the +z direction and are negative if they are clockwise. (a) If the current #1 through the bottom loop is increasing with time, what is the direction of the induced current in the top loop? (b) If the current #2 through the top loop is decreasing with time, what is the direction of the induced current in the bottom loop?