JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors Question Bank Heating Effect of Current

  • question_answer A current i passes through a wire of length l, radius of cross-section r and resistivity r. The rate of heat generation is [AMU (Med.) 1999]

    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)            \[i\,l\,\rho \,/\,r\]

    Correct Answer: A

    Solution :

               \[H={{i}^{2}}Rt\] Þ \[\frac{H}{t}={{i}^{2}}R=\frac{{{i}^{2}}\rho l}{\pi \,{{r}^{2}}}\]

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