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+2F1F2cos60∘=F2+F2+2F212=3F2=3FFR=14π∈03q2a2Therefore, the correct answer is (C)