A conductor has a temperature-independent resistance and a total heat capacity
PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter
Problem
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 the conductor's temperature T, assuming the thermal power dissipated into the surrounding space varies as q=k(T−T0), where k is a constant and T0 is the surrounding temperature, equal to the conductor's initial temperature.