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).