Three similar charges +q are placed on 3 corners of an equilateral triangle ABC of side a. How many minimum charges should be placed on a circle of radius a with the center at A so that resultant force on the charge placed at the center is q24πε0a2 along x-axis?
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a
4
b
6
c
3
d
any number
answer is C.
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Detailed Solution
Two similar charges should be placed at D and E (diametrically opposite to C and B) so that resultant force at A is zero. A similar charge (+q) should be placed at F, so that resultant force at A will be towards x-axis.