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

  • question_answer
    Two points A and B are located in diametrically opposite directions of a point charge of \[+2\,\,\mu C\]at distances 2 m and 1 m respectively from it. The potential difference between A and B is

    A) \[3\times {{10}^{3}}V\]

    B) \[6\times {{10}^{4}}V\]

    C) \[-9\times {{10}^{3}}V\]

    D) \[-3\times {{10}^{3}}V\]

    Correct Answer: C

    Solution :

    Here, \[q=2\,\mu C=2\times {{10}^{-6}}C\], \[{{r}_{A}}=2\,m\], \[{{r}_{B}}=1\,m\] \[\therefore \,\,{{V}_{A}}-{{V}_{B}}=\frac{q}{4\pi {{\varepsilon }_{0}}}\left[ \frac{1}{{{r}_{A}}}-\frac{1}{{{r}_{B}}} \right]\] \[=2\times {{10}^{-6}}\times 9\times {{10}^{9}}\left[ \frac{1}{2}-\frac{1}{1} \right]V\] \[=-9\,\times {{10}^{3}}\,V\]


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