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BCECE Engineering BCECE Engineering Solved Paper-2004

  • question_answer
    An air parallel plate capacitor has capacity C. The capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is:

    A)  1                                            

    B)         2

    C)         3                                            

    D)         4

    Correct Answer: D

    Solution :

    The capacitance of parallel plate air capacitor \[C=\frac{{{\varepsilon }_{o}}A}{d}\] where A is the area of each plate and d is the distance between the plates. In a medium of dielectric constant K and with given condition \[C=\frac{K{{\varepsilon }_{0}}A}{d}\] Given, \[A=A,d=2d,C=2C\] \[\therefore \]  \[2C=\frac{K{{\varepsilon }_{o}}A}{2d}\]               ?(ii) Equating Eqs. (i) and (ii), we get \[K=4\]


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