CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2007

  • question_answer
    The potential of the electric Held produced by point charge at any point \[(x,y,z)\] is given by\[V=3{{x}^{2}}+5\], where \[x,y\] are in metres and V is m volts. The intensity of the electric Held at \[(-2,1,0)\] is

    A)  \[+17\text{ }V{{m}^{-1}}\]                         

    B)  \[-17\text{ }V{{m}^{-1}}\]

    C)  \[+12\text{ }V{{m}^{-1}}\]                         

    D)  \[-12\text{ }V{{m}^{-1}}\]

    Correct Answer: D

    Solution :

    Potential \[q=2\times {{10}^{-6}}C=2\mu C\] Intensity of the electric field \[=\frac{dV}{dx}=6x\] \[\therefore \]  E at \[\therefore Ex=-2\]                 \[=6\,(-2)=-12\,V/m\]


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