GATE EE 2026 Set 1 — Question 15
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Electromagnetic Fields → Electrostatics → Coulomb's Law & E-Field
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Question
A uniform ring charge of radius carries a total charge . Which one of the following options correctly quantifies the magnitude of the force on a point charge of strength kept at the center of the ring? ( is the permittivity of the medium)
Correct answer
(C) 0
Solution
By symmetry, the electric field at the center of a uniformly charged ring is zero. For every infinitesimal charge element on the ring, there is a diametrically opposite element that produces an equal and opposite electric field vector at the center. The vector sum of all such fields is zero.
Since the electric field at the center, the force on a point charge placed there is .
Since the electric field at the center, the force on a point charge placed there is .
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