Electrostatics Question 203

Question: Three charges each of magnitude q are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the center is (each side of triangle is L) [DPMT 2002]

Options:

A) Zero

B) $ \frac{1}{4\pi {\varepsilon _{0}}}\frac{q^{2}}{L^{2}} $

C) $ \frac{1}{4\pi {\varepsilon _{0}}}\frac{3q^{2}}{L^{2}} $

D) $ \frac{1}{12\pi {\varepsilon _{0}}}\frac{q^{2}}{L^{2}} $

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Answer:

Correct Answer: A

Solution:

Since $ |\overrightarrow{F _{A}}|=|\overrightarrow{F _{B}}|=|\overrightarrow{F _{C}}| $ and they are equally inclined with each other, so their resultant will be zero.



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