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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    A parallel plate capacitor has a capacity \[C\]. The separation between the plates is doubled and a dielectric medium is introduced between the plates. If the capacity now becomes\[2C\], the dielectric constant of the medium is                                                                                     [Haryana CEE 1996]

    A)                    2

    B)                                      1

    C)                    4

    D)                                      8

    Correct Answer: C

    Solution :

               \[{{C}_{1}}={{\varepsilon }_{0}}\frac{A}{{{d}_{1}}}\] and \[{{C}_{2}}=K{{\varepsilon }_{0}}\frac{A}{{{d}_{2}}}\] \ \[\frac{{{C}_{1}}}{{{C}_{2}}}=\frac{1}{K}\times \frac{{{d}_{2}}}{{{d}_{1}}}\] \[=\frac{C}{2C}=\frac{1}{K}\times \frac{2d}{d}\] Þ K = 4


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