A circular conducting rod, diameter d and length L, having an electrical resistance per unit length R e , is in thermal equilibrium with its surroundings. Obtain an expression to compute the variation...

A circular conducting rod, diameter d and length L, having an electrical resistance per unit length R_e, is in thermal equilibrium with its surroundings. Obtain an expression to compute the variation in temperature of the rod with time, when an electric current I is passed through the rod. Hints: By energy balance, Energy generated within the rod = Energy convected and radiated away + Energy stored.