JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Critical Thinking

  • question_answer
    A parallel plate capacitor of plate separation 2 mm is connected in an electric circuit having source voltage 400 V. if the plate area is 60 cm2, then the value of displacement current for \[{{10}^{-6}}\,\sec \] will be

    A)            1.062 amp                             

    B)            \[1.062\times {{10}^{-2}}\]amp

    C)            \[1.062\times {{10}^{-3}}\]amp                                       

    D)            \[1.062\times {{10}^{-4}}\]amp

    Correct Answer: B

    Solution :

               \[{{I}_{D}}={{\varepsilon }_{0}}\frac{d{{\varphi }_{E}}}{dt}={{\varepsilon }_{0}}\frac{EA}{t}={{\varepsilon }_{0}}\left( \frac{V}{d} \right).\frac{A}{t}.\] \[=\frac{8.85\times {{10}^{-12}}\times 400\times 60\times {{10}^{-4}}}{{{10}^{-3}}\times {{10}^{-6}}}=1.602\times {{10}^{-2}}amp\]


You need to login to perform this action.
You will be redirected in 3 sec spinner