J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    The electric field and the potential of an electric dipole vary with distance r as

    A)  \[\frac{1}{r}\]and \[\frac{1}{{{r}^{2}}}\]

    B)  \[\frac{1}{{{r}^{2}}}\] and \[\frac{1}{r}\]

    C)  \[\frac{1}{{{r}^{2}}}\] and \[\frac{1}{{{r}^{3}}}\]

    D)  \[\frac{1}{{{r}^{3}}}\] and \[\frac{1}{{{r}^{2}}}\]

    Correct Answer: D

    Solution :

    Electric field and electric potential at a general point at a distance r from the centre of the dipole is \[{{E}_{g}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{p}{{{r}^{3}}}\sqrt{(3\,{{\cos }^{2}}\theta +1)}\] and \[{{V}_{g}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\,\,\frac{p\,\cos \theta }{{{r}^{2}}}\]


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