A long straight wire carries a current I0. At distances a and b from it there are two other wires, parallel to the former one, which are interconnected by a resistance R (Fig. 3.87). A connector slides without friction along the wires with a constant velocity v, assuming the resistances of the wires, the connector, the sliding contacts, and the self-inductance of the frame to be negligible, find:
(a) The magnitude and the direction of the current induced in the connector;
(b) The force required to maintain the connector's velocity constant.