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

  • question_answer Two conductors made of the same material are connected across a common potential difference. Conductor A has twice the diameter and twice the length of conductor B. The power delivered to the two conductors \[{{P}_{A}}\] and \[{{P}_{B}}\] respectively is such that \[{{P}_{A}}/{{P}_{B}}\] equals to

    A)            0.5 

    B)            1.0

    C)            1.5 

    D)            2.0

    Correct Answer: D

    Solution :

               \[R=\rho \frac{l}{A}\]and\[P\propto \frac{1}{R}\]Þ\[P\propto \frac{A}{l}\]Þ\[P\propto \frac{{{d}^{2}}}{l}\]Þ \[{{P}_{A}}=2{{P}_{B}}\]

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