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AIIMS AIIMS Solved Paper-2011

  • question_answer
    A capacitor of capacitance 5 \[={{F}_{s}}\,\,d\cos \theta \] is connected as shown in the figure. The internal resistance of the cell is 0.5\[=\mu Rd\cos \theta \]. The amount of charge on the capacitor plate is

    A)  zero                                     

    B)  5\[({{F}_{s}}=\mu R)\]C                              

    C)  10\[W=\mu mgd\cos \theta \]C              

    D)         25\[(R=mg)\]C

    Correct Answer: C

    Solution :

    We know that capacitor offers infinite resistance for DC source. (Battery is DC source) Current taken from the cell \[W=MB(1-\cos \theta )\] \[={{10}^{4}}\times 4\times {{10}^{-5}}(1-\cos {{60}^{o}})\] Potential drop across capacitor \[=0.2J\] \[L=10H,R=5\Omega ,e=5v\] The current in 2 0 resistor is zero. Charge on capacitor \[t=2\] \[I={{I}_{0}}(1-{{e}^{-Rt/L}})\] \[I=\frac{E}{R}(1-{{e}^{-RT/L}})\]


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