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Positive point charges are placed at the vertices of a star shape as shown in the figure. Direction of the electrostatic force on a negative point charge at the centre \( \boldsymbol{O} \) of the star is:

1. Neither along horizontal or vertical direction,
2. Vertically up
3. Towards left
4. Vertically down

Correct answer: Neither along horizontal or vertical direction,

Solution

Each positive charge attracts the negative charge at the center along the line joining them. Because the star’s vertices are arranged so the horizontal and vertical components do not cancel into a pure axis direction, the resultant force points along a diagonal direction. Therefore it is neither purely horizontal nor purely vertical.

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