12th Class Physics Electrostatics & Capacitance Question Bank MCQ - Electrostatic Potential and Capacitance

  • question_answer
    A system consists of two charges \[4\mu C\] and \[-3\mu C\]with no external field placed at (-5 cm, 0, 0) and (5 cm, 0, 0) respectively. The amount of work required to separate the two charges infinitely away from each other is:

    A) -1.1 J

    B)   2 J

    C) 2.5 J                     

    D) 3 J

    Correct Answer: A

    Solution :

    (a) -1.1J Here, \[{{q}_{1}}=4\mu C,\,{{q}_{2}}=-3\mu C,\,r=10cm=0.1\,m\] Electrostatic potential energy, \[U=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}_{1}}{{q}_{2}}}{r}\] \[=9\times {{10}^{9}}\times \frac{4\times {{10}^{-6}}\times \left( -3 \right)\times {{10}^{-6}}}{0.1}=-1.1\,J\]


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