12th Class Physics Electrostatics & Capacitance Question Bank Case Based (MCQs) - Electric Potential and Capacitance

  • question_answer
    Directions: (36-40)
    Dielectric Slab
    A dielectric slab is a substance which does not allow the flow of charges through it but permits them, to exert electrostatic forces on one another.        
    When a dielectric slab is placed between the plates, the field \[{{E}_{0}}\]polarises the dielectric. This induces charge \[-{{Q}_{p}}\] on the upper surface and \[+{{Q}_{p}}\]on the lower surface of the dielectric. These induced charges set up a field \[{{E}_{p}}\] inside the dielectric in the opposite direction of \[{{\overrightarrow{E}}_{0}}\] as shown.
    In a parallel plate capacitor, the capacitance increases from \[4\,\mu F\] to \[80\,\mu F\], on introducing a dielectric medium between the plates. What is the dielectric constant of the medium?

    A) 10

    B) 20

    C) 50

    D) 100

    Correct Answer: B

    Solution :

    \[k=\frac{Capacitance\text{ }with\text{ }dielectric}{Capacitance\text{ }without\text{ }dielectric}\] \[=\frac{80\mu F}{4\mu F}=20\]


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