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NEET Sample Paper NEET Sample Test Paper-46

  • question_answer
    A parallel plate capacitor carries a charge q. The distance between the plates is doubled by application of a force. The work done by the force is -

    A) zero

    B)                    \[{{q}^{2}}/C\]

    C)                    \[{{q}^{2}}/2C\]

    D)                    \[{{q}^{2}}/4C\]

    Correct Answer: C

    Solution :

    \[{{C}_{1}}=C\,\,=\,\frac{{{\in }_{0}}\,A}{d}\] \[{{C}_{2}}=\frac{C}{2}\,\,=\,\,\frac{{{\in }_{0}}\,A}{2d}\] \[W\,\,=\,\,\left( \frac{{{Q}^{2}}}{2{{C}_{2}}}-\frac{{{Q}^{2}}}{2{{C}_{1}}} \right)\,\,=\,\,\frac{{{Q}^{2}}}{2C}\,\]


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