Electrostatics Question 218

Question: The charges on two sphere are$ +7\mu C $ and $ -5\mu C $ respectively. They experience a force F. If each of them is given and additional charge of $ -2\mu C $ , the new force of attraction will be [RPET 2002]

Options:

A) F

B) F / 2

C) $ F/\sqrt{3} $

D) 2F

Show Answer

Answer:

Correct Answer: A

Solution:

$ F=\frac{1}{4\pi {\varepsilon _{0}}}\frac{(+7\times {{10}^{-6}})(-5\times {{10}^{-6}})}{r^{2}}=-\frac{1}{4\pi {\varepsilon _{0}}}\frac{35\times 10^{12}}{r^{2}}N $

$ F’=\frac{1}{4\pi {\varepsilon _{0}}}\frac{(+5\times {{10}^{-6}})(-7\times {{10}^{-6}})}{r^{2}}=-\frac{1}{4\pi {\varepsilon _{0}}}\frac{35\times 10^{12}}{r^{2}}N $



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