Five point charges, each of value +q, are placed on five vertices of a regular hexagon of side L. The magnitude of the force on a point charge of value -q coulomb placed at the center of the hexagon is
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a
1πε0qL2
b
2πε0qL2
c
12πε0qL2
d
14πε0qL2
answer is D.
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Detailed Solution
If there had been a sixth charge +q at the remaining vertex of hexagon, force due to all the six charges on -q at O will be zero. Now if f is the force due to the sixth charge and F due to the remaining five charges, thenF→+f→=0, i.e., F→=−f→⇒|F→|=|f→|=14πε0q×qL2=14πε0qL2