$A$ 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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