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Asked in RS Academy GUJCET booklet · Relation between field and potential
Idea: the line integral is ∮⃗E· d⃗l taken once around the circle.
The field of the point charge is radial, while along the circle d⃗l is tangential, so the angle between them is 90°.
⃗E· d⃗l = E dl cos 90° = 0 at every point, so the integral is zero.
More generally, the electrostatic field is conservative: ∮⃗E· d⃗l = 0 around any closed path.
So the line integral is zero.
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