A current i passes through a wire of length $l$, radius of cross-section $r$ and resistivity $\rho$. The rate of heat generation is

  • A

    $\frac{{{i^2}l\rho }}{{\pi {r^2}}}$

  • B

    ${i^2}{\left( {\frac{{l\rho }}{{\pi {r^2}}}} \right)^2}$

  • C

    ${i^2}l\,\rho \,/\,r$

  • D

    $i\,l\,\rho \,/\,r$

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  • [AIEEE 2004]