A conducting bar of length D rotates with angular frequency

Last updated: 6/2/2023

A conducting bar of length D rotates with angular frequency w about a pivot P at one end of the bar see the figure The other end of the bar is in slipping contact with a stationary conducting wire in the shape of a circle we only show a small part of that circle to keep the drawing simple Between point P and the circular wire there is a resistor R as shown Thus the bar the resistor and the arc form a closed conducting loop The resistance of the bar and the circular wire are negligibly small There is a uniform magnetic field B everywhere it is perpendicular to the plane of the paper as indicated What is the induced current in the loop Express your answer in terms of D w R and B BO D W