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MGIMS WARDHA MGIMS WARDHA Solved Paper-2007

  • question_answer
    If \[{{E}_{a}}\] be the electric field strength of a short dipole at a point on its axial line and \[{{E}_{e}}\] that on equilateral line at the same distance, then

    A) \[E=2{{E}_{a}}\]                               

    B) \[E{{  }_{a}}=2{{E}_{e}}\]

    C) \[E{{  }_{a}}={{E}_{e}}\]                             

    D) none of these

    Correct Answer: B

    Solution :

    \[{{E}_{a}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2p}{{{r}^{3}}}\] and         \[{{E}_{e}}=\frac{1}{4\pi {{\varepsilon }_{0}}}=\frac{p}{{{r}^{3}}}\] \[\therefore \]  \[{{E}_{a}}=2{{E}_{e}}\]


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