JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    A parallel plate capacitor having a plate separation of 2 mm is charged by connecting it to a 300 V supply. The energy density is                                                                             [BHU 2004]

    A)                    \[0.0\text{1}\,J/{{m}^{\text{3}}}\]                         

    B)            \[0.\text{1}\,J/{{m}^{\text{3}}}\]

    C)                    \[\text{1}.0\,J/{{m}^{\text{3}}}\]                           

    D)            \[\text{1}0J/{{m}^{\text{3}}}\]

    Correct Answer: B

    Solution :

               The energy density of parallel plate capacitor is given by \[U=\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}=\frac{1}{2}{{\varepsilon }_{0}}{{\left( \frac{V}{d} \right)}^{2}}\] \[=\frac{1}{2}\times 8.85\times {{10}^{-12}}\,{{C}^{2}}/N{{m}^{2}}\times {{\left( \frac{300\,volt}{2\times {{10}^{-3}}m} \right)}^{2}}\]\[=0.1\,J/{{m}^{3}}\]


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