12th Class Physics Electric Charges and Fields Question Bank MCQ - Electric Charges and Fields

  • question_answer
    Two infinitely long parallel conducting plates having surface charge densities \[+\,\sigma \] and \[-\,\sigma \] respectively, are separated by a small distance. The medium between the plates is vacuum. If \[{{\varepsilon }_{0}}\]is the dielectric permittivity of vacuum, then the electric field in the region between the plates:

    A) \[0\,v/m\]                      

    B) \[\frac{\sigma }{2{{\varepsilon }_{0}}}v/m\]

    C) \[\frac{\sigma }{{{\varepsilon }_{0}}}v/m\]                    

    D) \[\frac{2\sigma }{{{\varepsilon }_{0}}}v/m\]

    Correct Answer: C

    Solution :

    (c) \[\frac{\sigma }{{{\varepsilon }_{0}}}v/m\] From Gauss law, electric field due to charged infinite plane sheet, \[{{E}_{1}}=\frac{\sigma }{2{{\varepsilon }_{0}}}\]= — Here, the field between the plates \[E={{E}_{1}}={{E}_{2}}\] \[=\frac{\sigma }{2{{\varepsilon }_{0}}}+\frac{\sigma }{2{{\varepsilon }_{0}}}=\frac{\sigma }{{{\varepsilon }_{0}}}v/m\]


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