JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    If the distance between the plates of parallel plate capacitor is halved and the dielectric constant of dielectric is doubled, then its capacity will [MH CET 2003]

    A)                    Increase by 16 times 

    B)            Increase by 4 times

    C)                    Increase by 2 times   

    D)            Remain the same

    Correct Answer: B

    Solution :

               \[C=\frac{K{{\varepsilon }_{0}}A}{d}\propto \frac{K}{d}\] Hence, \[\frac{{{C}_{1}}}{{{C}_{2}}}=\frac{{{K}_{1}}}{{{K}_{2}}}\times \frac{{{d}_{2}}}{{{d}_{1}}}=\frac{K}{2K}\times \frac{d/2}{d}=\frac{1}{4}\] Therefore, C2 = 4C1


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