Question

show that work done in moving a test charge from one point to another point on an equipotential surface is zero..?

Answer 1

An equipotential surface is one in which all the points are at the same electric potential. If a charge is to be moved between any two points (say from point A to point B) on an equipotential surface, according to the formula dW=q⋅dV, the work done becomes zero.

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Answer 2

$\Large\underline\mathfrak{Question}$

To show that work done in moving a test charge from one point to another point on an equipotential surface is zero..?

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$\Large\bold\star\underline{\underline\textbf{Work done = \:}}$

→ Considering the positions "A" and "B" from where we will move test charge.

→ We know that the work done in moving a unit positive charge from "A" to "B" is equal to the potential difference between "A" and "B" .

i.e.

» W (from A to B) = V (at B) - V (at A)

→ On equipotential surface,

» V (at A) = V (at B)

So,
» W (from A to B) = 0

→ Hence , work done in moving a test charge from one point to another point on an equipotential surface is zero.

Hope it helped u.

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