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Three charges, each equal to q, are plac...

Three charges, each equal to q, are placed at the three. corners of a square of side a . Find the electric field at. the fourth corner.

Text Solution

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Here, `E_(A) = E_(C) = (kq)/(a^(2))` , Figure
`E_(B) = (kq)/(2a^(2))`

At D, Electric field
`E_(D) = sqrt(E_(A)^(2) + E_(C)^(2)) + E_(B) = (kq sqrt(2))/(a^(2)) + (kq)/(2a^(2))`
`= (k(2 sqrt(2) + 1) q)/(2a^(2))`
`E_(D) = ((2 sqrt(2) + 1)q)/(8pi in_(0) a^(2))`
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