Question

Four point charges , and are located at the corners of a square of side . What is the force on a charge of placed at the centre of the square?

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Updated on : 2022-09-05
Solution
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The given figure shows a square of side 10 cm with four charges placed at its corners. O is the centre of the square.

Where,

(Sides)

(Diagonals)  

A charge of amount is placed at point O.

Force of repulsion between charges placed at corner A and centre O is equal in magnitude but opposite in direction relative to the force of repulsion between the charges placed at corner C and centre O. Hence, they will cancel each other. Similarly, force of attraction between charges placed at corner B and centre O is equal in magnitude but opposite in direction relative to the force of attraction between the charges placed at corner D and centre O. Hence, they will also cancel each other. Therefore, net force caused by the four charges placed at the corner of the square on charge at centre O is zero.

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