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

  • question_answer
    If the electric flux entering and leaving an enclosed surface respectively is \[{{\phi }_{1}}\]and\[{{\phi }_{2}}\], the electric charge inside the surface will be

    A) \[\left( {{\phi }_{2}}+{{\phi }_{2}} \right)\times {{\varepsilon }_{0}}\]    

    B) \[\left( {{\phi }_{2}}-{{\phi }_{2}} \right)\times {{\varepsilon }_{0}}\]

    C) \[\left( {{\phi }_{1}}+{{\phi }_{2}} \right)\times {{\varepsilon }_{0}}\]    

    D) \[\left( {{\phi }_{1}}-{{\phi }_{2}} \right)\times {{\varepsilon }_{0}}\]

    Correct Answer: D

    Solution :

    [d] \[\phi \,=E\,A\,\cos \,0{}^\circ \,=E\,\times \frac{\pi \,{{d}^{2}}}{4},\,\,\,\,\,\,\,\therefore \,E=\frac{4\,\phi }{\pi \,{{d}^{2}}}\]


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