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Question

Five point charges (+q each) are placed at the five vertices of a regular hexagon of side 2a. What is the magnitude of the net electric field at the centre of the hexagon?

A
14πε0qa2
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B
q16πε0a2
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C
2q4πε0a2
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D
5q16πε0a2
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Solution

The correct option is C q16πε0a2
Electric field due q1, q2, q4 and q5 cancel each other and only field due to q3 exists.
As the side of the hexagon is 2a we get the distance form q3 to the center as 2a only.
Thus we get the electric field as kq4a2

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