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Q.

Three charges are placed at the vertices of an equilateral triangle of side a as shown in the following figure. The force experienced by the charge placed at the vertex A in a direction normal to BC is

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a

Q24πε0a2

b

Q22πε0a2

c

-Q24πε0a2

d

Zero

answer is C.

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Detailed Solution

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The various forces acting at charge +Q are:

FB( force of attraction )=14πε0·Q2a2 FC( force of repulsion )=14πε0·Q2a2

Resolving the force, we have FB sin 60° along -y  direction and Fc sin 60° along +y direction. Two equal and opposite forces which cancel each other. Hence, net force is zero.

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Three charges are placed at the vertices of an equilateral triangle of side a as shown in the following figure. The force experienced by the charge placed at the vertex A in a direction normal to BC is