JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Self Evaluation Test - Electric Chages and Fields

  • question_answer
    Consider an electric field \[\vec{E}={{E}_{0}}\hat{x}\] where \[{{E}_{0}}\] is a constant. The flux through the shaded area (as shown in the figure) due to this field is

    A) \[2{{E}_{0}}{{a}^{2}}\]

    B) \[\sqrt{2}{{E}_{0}}{{a}^{2}}\]

    C) \[{{E}_{0}}{{a}^{2}}\]

    D) \[\frac{{{E}_{0}}{{a}^{2}}}{\sqrt{2}}\]

    Correct Answer: C

    Solution :

    [c] \[\int_{{}}^{{}}{\vec{E}.\overrightarrow{dA}=\phi }\]   \[\Rightarrow \phi ={{E}_{0}}(a\times a\sqrt{2})\cos 45{}^\circ -{{E}_{0}}{{a}^{2}}\]


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