JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Kirchhoff's Law, Cells

  • question_answer
    The maximum power drawn out of the cell from a source is given by (where r is internal resistance)        [DCE 2002]

    A)            \[{{E}^{2}}/2r\]

    B)                                      \[{{E}^{2}}/4r\]

    C)            \[{{E}^{2}}/r\]                      

    D)            \[{{E}^{2}}/3r\]

    Correct Answer: B

    Solution :

               \[i=\frac{E}{r+R}\] Þ \[P={{i}^{2}}\,R\] Þ \[P=\frac{{{E}^{2}}R}{{{(r+R)}^{2}}}\] Power is maximum when r = R  Þ \[{{P}_{\max }}={{E}^{2}}/4r\]


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