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Four equal positive charges each of valu...

Four equal positive charges each of value Q are arranged at the four corners of a square of side a each. A body of mass m and having a unit positive charge is in equilibrium at a height h above the centre of the square. Find Q.

Text Solution

Verified by Experts

According to the question,
` " " mg = 4 F cos theta.`
` " " cos theta = (h)/(sqrt(h^(2)+ (a^(2))/(2)))`
` rArr " " mg = 4 xx (1)/(4piin_0) (Qxx1)/((sqrt(h^(2) + (a^(2))/(2)))^(2)) cos theta `
` rArr " " Q= (mg piin_0)/(h) (h^(2) + (a^(2))/(2))^(3//2)`
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