1.

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 surrounding space to vary as q=k(T-T_(0)) where k is a constant. T_(0) is the environmentaltemperature (equal to conductor.s temperature at the initial moment).

Answer»

`T=(V^(2))/(KR)e^((-KT)/(C ))`
`T=T_(0)+(V^(2))/(KR)[1-e^((-Kt)/(C ))]`
`T=T_(0)+(V^(2))/(kR)e^((-kt)/(C ))`
`T=(T_(0)+(V^(2))/(kR))e^((-kt)/(C ))`

Answer :B


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