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A conductor has a temperature-independent resistance R and a total heat capacity C. At the moment t = 0 it is connected to a de 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 (T — T0 ), where k is a constant, T0 is the environmental temperature (equal to the conductor's temperature at the initial moment).

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The equation of heat balance is

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