Problem

Problem

A conductor has a temperature independent resistance RR and a total heat capacity CC. At the moment t=0t = 0 it is connected to a DC voltage VV. Find the time dependence of the conductor's temperature TT assuming the thermal power dissipated into surrounding space to vary as q=k(T−T0)q = k(T - T_0), where kk is a constant, T0T_0 is the surrounding temperature (equal to conductor's temperature at the initial moment).

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