AIIMS AIIMS Solved Paper-2001

  • question_answer
    Two material having the dielectric constants \[{{k}_{1}}\] and \[{{k}_{2}}\] are filled between two parallel plates of a capacitor. Where area of each plate is A and the distance between the plates is d. The capacity of the capacitor is:

    A) \[\frac{A{{\varepsilon }_{0}}({{k}_{1}}\times {{k}_{2}})}{d({{k}_{1}}+{{k}_{2}})}\]              

    B)        \[\frac{A{{\varepsilon }_{0}}({{k}_{1}}-{{k}_{2}})}{d}\]   

    C)        \[\frac{A{{\varepsilon }_{0}}{{k}_{1}}{{k}_{2}}}{({{k}_{1}}+{{k}_{2}})}\]  

    D)        \[\frac{A{{\varepsilon }_{0}}({{k}_{1}}+{{k}_{2}})}{d}\]

    Correct Answer: D

    Solution :

                    Key Idea: In each capacitor the area of the plate will be A. In the given combination the arrangement is equivalent to two capacitors connected in parallel. Also in each capacitor the area of the plate will be \[\mu \]. \[\alpha \]  Equivalent capacitance \[v=\omega \sqrt{{{a}^{2}}-{{x}^{2}}}\] \[\sqrt{g}\]


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