A current i passes through a wire of length $l$, radius of cross-section $r$ and resistivity $\rho$. The rate of heat generation is
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(a) $H = {i^2}Rt$ $ \Rightarrow $ $\frac{H}{t} = {i^2}R = \frac{{{i^2}\rho l}}{{\pi \,{r^2}}}$
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