JEE Main & Advanced Physics Electrostatics & Capacitance JEE PYQ-Electrostatics and Capacitance

  • question_answer
    To establish an instantaneous current of 2 A through a \[1\mu \operatorname{F}\] capacitor; the potential difference across the capacitor plates should be changed at the rate of: [JEE ONLINE 22-04-2013]

    A)             \[2\times {{10}^{4}}\operatorname{V}/s\]

    B) \[4\times {{10}^{6}}\operatorname{V}/s\]

    C)             \[2\times {{10}^{6}}\operatorname{V}/s\]

    D) \[4\times {{10}^{4}}\operatorname{V}/s\]

    Correct Answer: C

    Solution :

    [c] As, \[C=\frac{Q}{V}=\frac{It}{V}\]
    \[\Rightarrow \]\[\frac{V}{t}=\frac{I}{C}=\frac{2}{1\times {{10}^{-6}}}\]
    \[=2\times {{10}^{6}}V/s\]


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