A thick piece of conducting wire is bent into a circle of radius a. At the center of the circle (point P) is a pivot on which rests a conducting bar of length a. The bar makes electrical contact with the wire by slipping on it as it rotates with some angular velocity co. The wire and the center point are connected by a resistor R, so that the bar, resistor, and arc of wire form a conducting loop. There is a B field pointing into the page as shown. Calculate the current induced in the resistor and determine its direction through the resistor. R P 3 a ww R