12th Class Physics Electrostatics & Capacitance Question Bank Case Based (MCQs) - Electric Potential and Capacitance

  • question_answer
    If a system consists of two charges \[4\,mC\] and \[-3\,mC\] 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) \[-1\centerdot 1\,J\]

    B) 2J

    C) \[2\centerdot 5\,J\]

    D) 3 J

    Correct Answer: A

    Solution :

    Here, \[{{q}_{1}}=4\,\,\mu C,\,\,\,{{q}_{2}}=-3\,\,\mu C\] \[r=10\,\,cm\,\,=\,0\,.\,1\,m\] 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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