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

  • question_answer
    The capacitance of a parallel plate capacitor with air as medium is \[6\mu F\]. With the introduction of a dielectric medium, the capacitance becomes\[30\mu F\]. The permittivity of the medium is: \[({{\in }_{0}}=8.85\times {{10}^{12}}{{C}^{2}}\text{ }{{N}^{1}}{{m}^{2}})\]    [NEET 2020]

    A) \[1.77\times {{10}^{12}}{{C}^{2}}{{N}^{1}}{{m}^{2}}\]

    B) \[0.44\times {{10}^{10}}{{C}^{2}}{{N}^{1}}{{m}^{2}}\]

    C) \[5.00\text{ }{{C}^{2}}{{N}^{1}}{{m}^{2}}\]

    D) \[0.44\times {{10}^{13}}{{C}^{2}}{{N}^{1}}{{m}^{2}}\]

    Correct Answer: B

    Solution :

    [b] \[C=K{{C}_{0}}\]
                            \[K=\frac{C}{{{C}_{0}}}=\frac{30}{6}=5\]
                            \[K=\frac{\varepsilon }{{{\varepsilon }_{0}}}\]
                            \[\varepsilon =K{{\varepsilon }_{0}}\]
                            \[=5\times 8.85\times {{10}^{-12}}\]
                            \[=0.44\times {{10}^{-10}}{{C}^{2}}{{N}^{-1}}{{m}^{-2}}\]


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