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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    The capacity of a condenser in which a dielectric of dielectric constant 5 has been used, is \[C\]. If the dielectric is replaced by another with dielectric constant 20, the capacity will become                                             [MP PMT 1996]

    A)                    \[\frac{C}{4}\]

    B)                                      \[4C\]

    C)                    \[\frac{C}{2}\]              

    D)            \[2C\]

    Correct Answer: B

    Solution :

               \[C=\frac{K{{\varepsilon }_{0}}A}{d};\] \ \[\frac{{{C}_{1}}}{{{C}_{2}}}=\frac{{{K}_{1}}}{{{K}_{2}}}\] Þ \[\frac{C}{{{C}_{2}}}=\frac{5}{20}\] Þ C2 = 4C


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