Electrostatics Question 404

Question: What is the magnitude of a point charge which produces an electric field of 2 N/coulomb at a distance of 60 cm ($ 1/4\pi {\varepsilon _{0}}=9\times 10^{9}N-m^{2}/C^{2} $ ) [MP PET 2000; RPET 2001]

Options:

A) $ 8\times {{10}^{-11}} $ C

B) $ 2\times {{10}^{-12}} $ C

C) $ 3\times {{10}^{-11}} $ C

D) $ 6\times {{10}^{-10}} $ C

Show Answer

Answer:

Correct Answer: A

Solution:

$ E=\frac{1}{4\pi {\varepsilon _{0}}}.\frac{Q}{r^{2}} $

therefore $ 2=9\times 10^{9}\times \frac{Q}{{{(0.6)}^{2}}} $

therefore Q = 8 x $ {{10}^{-11}}C $



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