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NEET Sample Paper NEET Sample Test Paper-81

  • question_answer
    The electric field in a region is given by\[\operatorname{E}=x\,\hat{i} +y\hat{j}\,\,+\,\,z\,\hat{k}\]. Here x, y and z are constant. The net flux passing through a square are of side L parallel to y - z plane is

    A)  \[{{x}^{2}}L\]                                   

    B)  \[z{{L}^{2}}\]

    C)  \[y{{L}^{2}}\]                                   

    D)  \[x{{L}^{2}}\]

    Correct Answer: D

    Solution :

    Given, \[\operatorname{E}=x\,\hat{i}\,+y\hat{j}\,\,+\,\,z\hat{k}\] Now, a square of side L parallel to y-z plane in vector form can be written as \[S\,\,=\,\,{{L}^{2}}\,\hat{i}\] Now, electric flux passing through given area will be \[\phi =E\cdot S\] \[=\,\,\,(x\hat{i}\,\,+\,\,y\hat{j}\,\,+\,\,z\hat{k})\,\cdot \,({{L}^{2}}\,\hat{i})\] \[=\,\,\,x\,{{L}^{2}}\]


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