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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2005

  • question_answer
    An air filled parallel plate condenser has a capacity of 2 pF. The separation of the plates is doubled and the interspace between the plates is filled with wax. If the capacity is increased to 6 pF, the dielectric constant of wax is:

    A)  2                                            

    B)  3

    C)  4                                            

    D)  6

    Correct Answer: D

    Solution :

    Capacitance with air                                 \[C=\frac{A{{\varepsilon }_{0}}}{d}\] When interspace between the plates is filled with wax, then                 \[C=\frac{KA{{\varepsilon }_{0}}}{2d}\] or            \[C=\left( \frac{A{{\varepsilon }_{0}}}{d} \right)\frac{K}{2}\] or            \[C=C\frac{K}{2}\] \[\therefore \]  \[6=2\,.\,\frac{K}{2}\,\Rightarrow \,\,K=6\]


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