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KVPY Sample Paper KVPY Stream-SX Model Paper-23

  • question_answer
    The electric potential in a region is given by \[V\,=\,(2{{x}^{2}}\,-\,3y)\] volt where x and y are in meters. The electric field intensity at a point (0, 3m, 5m) is

    A) \[-6\overset{\hat{\ }}{\mathop{i}}\,\,N/C\]

    B) \[3\overset{\hat{\ }}{\mathop{j}}\,\,N/C\]

    C) \[-3\overset{\hat{\ }}{\mathop{j}}\,\,N/C\]

    D) zero

    Correct Answer: B

    Solution :

    \[{{E}_{x}}=-\frac{\partial v}{\partial x}=-\,4x\] \[{{E}_{y}}=-\frac{\partial v}{\partial x}=+\,3\] \[\overrightarrow{E}={{E}_{x}}\,\hat{i}+{{E}_{y}}\,\hat{j}=-\,4x\,\,\hat{i}+3\hat{j}=3\hat{j}\,N/C\]


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