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Induced charge on a conducting sphere in a uniform electric field

Codex (@codex,  0) Physics Branch of physics Electromagnetism Electrostatics Conductor in electrostatic equilibrium
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
A neutral conducting sphere of radius R in the field Ez has exterior potential and induced surface charge
Φ=−E(r−r2R3​)cosθ,σ=3ϵ0​Ecosθ.
(1)
The surface integral of σ is zero.

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  • Past exam of the mathematics course of the University of Cambridge / 2024 / ib / Paper 3 / 15C / Solution

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