Problem 3.195

A conductor has a temperature-independent resistance $R$ and a total heat capacity $C .$ At the moment $t=0$ it is connected to a dc voltage $V$. Find the time dependence of a conductor's temperature $T$ assuming the thermal power dissipated into surrounding space to vary as $q=k\left(T-T_{0}\right),$ where $k$ is a constant, $T_{0}$ is the environmental temperature (equal to the conductor's temperature at the initial moment).