Punjab Medical Punjab - MET Solved Paper-2010

  • question_answer
    Two point-charges \[\pm 10\mu C\] are placed \[5.00mm\] apart, forming an electric dipole. Compute electric field at a point on the axis of the dipole \[15cm\] away from the centre on a line passing through the centre dipole.

    A) \[1.66\times {{10}^{5}}N{{C}^{-1}}\]       

    B) \[3.66\times {{10}^{5}}N{{C}^{-1}}\]

    C) \[2.66\times {{10}^{-5}}N{{C}^{-1}}\]     

    D) \[2.66\times {{10}^{5}}N{{C}^{-1}}\]

    Correct Answer: C

    Solution :

    The magnitude of the electric dipole moment is                 \[p=q\times 2l=(10\times {{10}^{-6}})\times (5.00\times {{10}^{-3}})\]                    \[=50\times {{10}^{-9}}cm\] The field is required at point far-away from the centre of the dipole. The electric field at an axial point (end-on position) distant\[r(=15cm)\]from the centre of the dipole is       \[E=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2p}{{{r}^{3}}}=(9.0\times {{10}^{9}})\frac{2\times (50\times {{10}^{-9}})}{{{(15\times {{10}^{-2}})}^{3}}}\]


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