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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    The capacitance of an air filled parallel plate capacitor is \[10\mu \mu F\]. The separation between the plates is doubled and the space between the plates is then filled with wax giving the capacitance a new value of\[40\times {{10}^{-12}}farads\]. The dielectric constant of wax is                                                     [AMU 1995]

    A)                    12.0

    B)                                      10.0

    C)                    8.0

    D)                                      4.2

    Correct Answer: C

    Solution :

                       \[{{C}_{1}}=\frac{{{\varepsilon }_{0}}A}{d}\] and \[{{C}_{2}}=\frac{K{{\varepsilon }_{0}}A}{2d}\] Þ \[\frac{{{C}_{2}}}{{{C}_{1}}}=\frac{K}{2}\] Þ \[\frac{40\times {{10}^{-12}}}{10\times {{10}^{-12}}}=\frac{K}{2}\] Þ K = 8


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