RAJASTHAN PMT Rajasthan - PMT Solved Paper-2008

  • 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)  \[({{\phi }_{2}}-{{\phi }_{1}}){{\varepsilon }_{0}}\]                          

    B)  \[({{\phi }_{1}}+{{\phi }_{2}})/{{\varepsilon }_{0}}\]

    C)  \[({{\phi }_{2}}-{{\phi }_{1}})/{{\varepsilon }_{0}}\]      

    D)         \[({{\phi }_{1}}+{{\phi }_{2}}){{\varepsilon }_{0}}\]

    Correct Answer: A

    Solution :

    [From Gauss law,\[\frac{\text{Charge}\,\,\text{enclosed}}{{{}_{\text{0}}}}\]                                 = Flux leaving the surface]                 \[\frac{q}{{{\varepsilon }_{0}}}={{\phi }_{2}}-{{\phi }_{1}}\] \[\Rightarrow \]               \[q=({{\phi }_{2}}-{{\phi }_{1}}){{\varepsilon }_{0}}\]


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