JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    Which one statement is correct? A parallel plate air condenser is connected with a battery. Its charge, potential, electric field and energy are\[{{Q}_{o}},\ {{V}_{o}},\ {{E}_{o}}\] and \[{{U}_{o}}\]respectively. In order to fill the complete space between the plates a dielectric slab is inserted, the battery is still connected. Now the corresponding values\[Q,\ V,\ E\] and\[U\]are in relation with the initially stated as                               [IIT 1985]

    A)                    \[Q>{{Q}_{o}}\]

    B)                                      \[V>{{V}_{o}}\]

    C)                    \[E>{{E}_{o}}\]

    D)                                      \[U>{{U}_{o}}\]

    Correct Answer: A

    Solution :

     Capacitance will be increased when a dielectric is introduced in the capacitor but potential difference will remain the same because battery is still connected. So according to q = CV, charge will increase i.e. \[Q>{{Q}_{0}}\] and \[U=\frac{1}{2}Q{{V}_{0}},\,{{U}_{0}}=\frac{1}{2}{{Q}_{0}}{{V}_{0}}\] Þ \[Q>{{Q}_{0}}\] so \[U>{{U}_{0}}\]


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