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NEET Sample Paper NEET Sample Test Paper-6

  • question_answer
    Four point charges \[{{q}_{1}},{{q}_{2}},{{q}_{3}}\] and \[{{q}_{4}}\] are placed at the corners of a square of side a, as shown in figure. The potential at the centre of the square is (Given. \[{{q}_{1}}=1\times {{10}^{-8}}C,\] \[{{q}^{2}}=-2\times {{10}^{-8}}C,\]\[{{q}^{3}}=3\times {{10}^{-8}}C,\] \[{{q}^{4}}=2\times {{10}^{-8}}C,\] \[a=1m\])                

    A)  \[507\,V\]                    

    B)  \[607\,V\]               

    C)  \[550\,V\]                    

    D)  \[650\,V\]           

    Correct Answer: A

    Solution :

    Net potential (i.e. sum of the potential) at the centre (P) of square is given by \[{{V}_{net}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\left[ \frac{{{q}_{1}}}{r}+\frac{{{q}_{2}}}{r}+\frac{{{q}_{3}}}{r}+\frac{{{q}_{4}}}{r} \right]=507\,V\]


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