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Haryana PMT Haryana PMT Solved Paper-2000

  • question_answer
    The plates of a parallel plate capacitor are charged with a battery so that the plates of the capacitor have acquired the potential- difference equal to emf of the battery. The ratio of the work done by the battery and energy stored in capacitor will be :

    A)  4:1                                        

    B)  2:1

    C)  1:2                                        

    D)  1 :1

    Correct Answer: B

    Solution :

                    Work done by battery is given by \[W=qV=(CV)\,V=C{{V}^{2}}\,\,\,\,(\because \,\,q=CV)\]  ...(1) Now, energy stored by capacitor is given by \[U=\frac{1}{2}C{{V}^{2}}\]                  ?...(2) From equations (1) and (2), we obtained                 \[\frac{W}{U}=\frac{2}{1}=2:1\]


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