Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer If initial capacitance of capacitor is C, then final capacity of capacitor will be

    A)  \[KC\]                                 

    B) \[(K+1)C\]

    C)  \[(K+1)C\text{/2}\]      

    D)  \[(K-1)C\]

    Correct Answer: C

    Solution :

    Initial capacitance of the capacitor, \[C=\frac{A{{\varepsilon }_{0}}}{d}\]      ?.(i) Final capacitance                 \[C'={{C}_{1}}+{{C}_{2}}\]                 \[=\frac{\frac{A}{2}{{\varepsilon }_{0}}}{d}+\frac{K\frac{A}{2}{{\varepsilon }_{0}}}{d}\]                 \[=\frac{A{{\varepsilon }_{0}}}{2d}\,(1+K)\]                 \[=\frac{(1+K)}{2}C\]

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