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

  • question_answer
    A parallel plate capacitor of capacitance \[\text{90 pF}\] is connected to a battery of\[\text{emf 20 V}\]. If a dielectric material of dielectric constant \[\text{K=}\frac{5}{3}\]is inserted between the plates, the magnitude of the induced charge will be: [JEE Main Online 08-04-2018]

    A) \[\text{2}\text{.4 n C}\]

    B) \[\text{0}\text{.9 n C}\]

    C) \[\text{1}\text{.2 n C}\]

    D) \[\text{0}\text{.3 n C}\]

    Correct Answer: C

    Solution :

    [c] \[q=CV=3\times {{10}^{-9}};here\,\,C=K{{C}_{0}}\]
    \[{{q}_{ind}}=3\times {{10}^{-9}}\left( 1-\frac{1}{K} \right)\]
    \[{{q}_{ind}}=3\times {{10}^{-9}}\left( 1-\frac{3}{5} \right)=3\times {{10}^{-9}}\times \frac{2}{5}\]
    \[{{q}_{ind}}=1.2\times {{10}^{-9}}\]


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