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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Critical Thinking

  • question_answer
    A fully charged capacitor has a capacitance ?C?. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ?s? and mass ?m?. If the temperature of the block is raised by ?\[\Delta T\]?, the potential difference ?V? across the capacitance is [AIEEE 2005]

    A)            \[\frac{ms\Delta T}{C}\]  

    B)            \[\sqrt{\frac{2ms\Delta T}{C}}\]

    C)            \[\sqrt{\frac{2mC\Delta T}{s}}\]                                      

    D)            \[\frac{mC\Delta T}{s}\]

    Correct Answer: B

    Solution :

               \[\frac{1}{2}C{{V}^{2}}=m.s.\Delta T\]  Þ \[V=\sqrt{\frac{2ms\Delta T}{C}}\]


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