A coil of resistance $100\Omega$ is connected across a battery of emf $6.0V.$ Assume that the heat developed in the coil is used to raise its temperature. If the heat capacity of the coil is $4.0J/K,$ how long will it take to raise the temperature of the coil by $15^\circ C$?
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$\text{R}=100\Omega,$
$\text{E}=6\text{v}$
Heat capacity of the coil $=4\text{J/k}$
$\Delta\text{T}=15^\circ$
Heat liberate $\Rightarrow\frac{\text{E}^2}{\text{Rt}}=4\text{J/K}\times15$
$\Rightarrow\frac{6\times6}{100}\times\text{t}=60$
$\Rightarrow\text{t}=166.67\text{sec}=2.8\text{min}$
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