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MGIMS WARDHA MGIMS WARDHA Solved Paper-2015

  • question_answer
    The electric potential Vat any point\[x,y,z\]in space is given by\[V=4{{x}^{2}}\]. The electric field at the point (2, 0, 1) in\[V{{m}^{-1}}\]is

    A)  \[10\hat{j}\]                     

    B)  \[20\hat{j}\]  

    C)  \[-16\hat{j}\]                   

    D)  \[30\hat{j}\]

    Correct Answer: C

    Solution :

                    \[\because \]     \[V=4{{x}^{2}}\] So.          \[E=-\frac{dV}{dr}=-8x\hat{i}\] Value of E at point (2m, 0, 1m) is \[E=-8\times 2=-16\hat{i}V{{m}^{-1}}\]


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