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Problem: Four equal positive point charges, each of charge 5.7 µC , are at the corners of a square of side 9.2 cm. What charge should be placed at the center of the square so that all charges are at equilibrium?

FREE Expert Solution

Coulomb's law:

F=kq1q2r2

diagonal squared = 2L2

F12 = kq2/L2 

F23 = kq2/L2 

F24 = kq2/(2L2)

r25=2·L2(r25)2=2L24=L22

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Problem Details

Four equal positive point charges, each of charge 5.7 µC , are at the corners of a square of side 9.2 cm. 

What charge should be placed at the center of the square so that all charges are at equilibrium?

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