Consider a horizontal circular loop of radius carrying a current . Concentric and coplanar with the loop is a smooth metallic ring of radius , containing a metallic rod of mass , as shown. The rod can freely rotate about , the center of arrangement. Between and the circumference of ring, a resistor load (not shown in the figure) is connected, which doesn't obstruct the motion of rod. The rod is given an angular velocity . Find an expression for the maximum angle through which the rod rotates, if .
Find the value of for the values given below :
Details and assumptions
The resistances of the rod and ring can be neglected.