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Question -

Four point charges q=2 μC, q= −5 μC, qC =2 μC, and qD = −5 μC are located at the corners ofa square ABCD of side 10 cm. What is the force on a charge of 1 μC placed atthe centre of the square?



Answer -

The given figure shows a squareof side 10 cm with four charges placed at its corners. O is the centre of thesquare.

Where,

(Sides) AB = BC = CD = AD = 10 cm

(Diagonals) AC = BD = cm

AO = OC = DO = OB = cm

A charge of amount 1μC is placedat point O.

Force of repulsion betweencharges placed at corner A and centre O is equal in magnitude but opposite indirection relative to the force of repulsion between the charges placed atcorner C and centre O. Hence, they will cancel each other. Similarly, force ofattraction between charges placed at corner B and centre O is equal inmagnitude but opposite in direction relative to the force of attraction betweenthe charges placed at corner D and centre O. Hence, they will also cancel eachother. Therefore, net force caused by the four charges placed at the corner ofthe square on 1 μC charge at centre O is zero.

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