Mixed Charges on Circle · CAP 2010 #Q15

Physics · electromagnetism

Problem

Three of the negative charges in the previous questions are replaced with positive charges with the same magnitude, and are arranged as in the figure. The magnitude of the electric field and the electrostatic potential at the centre of the circle are given by a) E=2kq(1+22)r2,V=0E= \frac{2kq(1+2\sqrt{2})}{r²},V =0; b) E=2kq(1+2)r2,V=−2qkrE = \frac{2kq(1+ \sqrt{2})}{r²}, V = \frac{-2qk}{r}; c) E=2kq(1+22)r2,V=−2qkrE= \frac{2kq(1+2\sqrt{2})}{r²}, V = \frac{-2qk}{r}; d) E=0,V=−2qkrE =0, V = \frac{-2qk}{r}. e) None of the above. [Figure: Circle with mix of positive and negative charges arranged symmetrically]

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