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Question: Three charges each of magnitude q are placed at the corners of an equilateral triangle, the electros...

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)

A

Zero

B

14πε0q2L2\frac{1}{4\pi\varepsilon_{0}}\frac{q^{2}}{L^{2}}

C

14πε03q2L2\frac{1}{4\pi\varepsilon_{0}}\frac{3q^{2}}{L^{2}}

D

112πε0q2L2\frac{1}{12\pi\varepsilon_{0}}\frac{q^{2}}{L^{2}}

Answer

Zero

Explanation

Solution

In the following figure since ∣FA→∣=∣FB→∣=∣FC→∣|\overset{\rightarrow}{F_{A}}| = |\overset{\rightarrow}{F_{B}}| = |\overset{\rightarrow}{F_{C}}| and they are equally inclined with each other, so their resultant will be zero.