Question

Considering W = F.ds ; describe in symbolic form, the work required to move a charge "Q" across (a) an equipotential line and (b) an electric field line. Explain your results.

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Answer #1

The equation which relates workdone , and potential difference and charge is

W= del V Q

in equipotential line, the potential difference is constant (0)

so work required to move charge W = 0

(b)

the relation between electric field and force is

F = Eq

work required to move charge Q in an electric field is

F.ds

here si = initial position of charge and sf is final position of charge.

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