BCECE Medical BCECE Medical Solved Papers-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                 \[C=\frac{{{\varepsilon }_{0}}A}{d}\] ?. (i) 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,   \[A=A,\,d=2\,d,\,C=2C\] \[\therefore \] \[2C=\frac{K{{\varepsilon }_{0}}A}{2\,d}\] ... (ii) Equating Eqs. (i) and (ii), we get \[K=4\]


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