JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Electric Field and Potential

  • question_answer
    If 3 charges are placed at the vertices of equilateral triangle of charge ?q? each. What is the net potential energy, if the side of equilateral \[\Delta \] is l cm                                                                         [AIEEE 2002]

    A)            \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}^{2}}}{l}\]

    B)                                      \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2{{q}^{2}}}{l}\]

    C)            \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{3{{q}^{2}}}{l}\]

    D)                                      \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{4{{q}^{2}}}{l}\]

    Correct Answer: C

    Solution :

                         \[U=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{{{Q}_{1}}{{Q}_{2}}}{r};\] net potential energy \[{{U}_{net}}=3\times \frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{{{q}^{2}}}{l}\]


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