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

  • question_answer
    Direction: Q.36 to Q.40
    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 induce charge \[-{{Q}_{P}}\]on the upper surface are \[+{{Q}_{P}}\]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.
    Read the given passage carefully and give the answer of the following questions.
    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 :

    (b) 20                           \[K=\frac{Capacitance\text{ }with\text{ }dielectric}{Capacitance\text{ }without\text{ }dielectric}=\frac{80\,\mu F}{4\,\mu F}=20\]


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