J & K CET Medical J & K - CET Medical Solved Paper-2004

  • question_answer
    The capacity of parallel plate capacitor in air and on immersing it into oil is 50\[\mu \]F and 110\[\mu \]F respectively. The dielectric constant of oil is :

    A)  0.45                                      

    B)  0.55

    C)  1.10                                      

    D)  2.20

    Correct Answer: D

    Solution :

                    Capacity of parallel plate capacitor of plate area A is \[C=\frac{K{{\varepsilon }_{0}}A}{d}\] where d is separation between the plates and K the dielectric constant. For air, \[K=1\] \[\therefore \]  \[{{C}_{A}}=\frac{{{\varepsilon }_{0}}A}{d}=50\,\mu F\]                            ...(i) For oil, \[\therefore \]  \[{{C}_{o}}=\frac{K{{\varepsilon }_{0}}A}{d}=110\,\mu F\]                    ...(ii) Dividing Eq. (ii) by Eq. (i), we get                 \[\frac{{{C}_{o}}}{{{C}_{A}}}=K=\frac{110}{50}=2.2\]


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