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Three particles of equal mass 'm' are si...

Three particles of equal mass 'm' are situated at the vertices of an equilateral triangle of side `L`. The work done in increasing the side of the triangle to `2L` is

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The work required to make an arrangement of charges is equal to potentail energy of the system
`:. W = (q^(2))/(4pi in_(0)a) xx 3 = (3q^(2))/(4pi in_(0)a)`
Work done by electric field represents the decrease in potential energy. So, we have
`W_(E"Field") = -Delta U= U_(i) - U_(f)`
Now, `U_(i) = (q^(2))/(4pi in_(0)(a)) xx 3`
`U_(f) = (q^(2))/(4pi in_(0)(2a)) xx 3`
`:. W_(E."Field") = (3q^(2))/(4pi in_(0)a) - (3q^(2))/(8pi in_(0)a) = (3q^(2))/(8pi in_(0)a)`
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