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

  • question_answer Resistances \[{{R}_{1}}\] and \[{{R}_{2}}\] are joined in parallel and a current is passed so that the amount of heat liberated is \[{{H}_{1}}\] and \[{{H}_{2}}\] respectively. The ratio \[\frac{{{H}_{1}}}{{{H}_{2}}}\] has the value [MP PMT 1994]

    A)            \[\frac{{{R}_{2}}}{{{R}_{1}}}\]                                           

    B)            \[\frac{{{R}_{1}}}{{{R}_{2}}}\]

    C)            \[\frac{R_{1}^{2}}{R_{2}^{2}}\]                                       

    D)            \[\frac{R_{2}^{2}}{R_{1}^{2}}\]

    Correct Answer: A

    Solution :

               Heat produced \[H=\frac{{{V}^{2}}t}{4.2R}=H\propto \frac{1}{R}\] Hence \[\frac{{{H}_{1}}}{{{H}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}\]

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