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Q.

Three equal charges each having charge +q are placed at the corners of an equilateral triangle of side  a. Then the Coulomb force experienced by one charge due to  rest of the two is

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a

14π∈0q2a2

b

14π∈02q2a2

c

14π∈03q2a2

d

zero

answer is C.

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Detailed Solution

The force due to the two charges on the third charge be  F1 and  F2, then F1=F2=14π∈0q2a2They act along the sides of triangle and angle between the forces is  60∘.So the resultant force on the third charge is =F12+F22+2F1F2cos⁡60∘=F2+F2+2F212=3F2=3FFR=14π∈03q2a2Therefore, the correct answer is  (C)
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