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Spherical Conductors: Voltage Calculation & Equilibrium | ρs=ρ0cos2theta
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[QUOTE="haruspex, post: 4973156, member: 334404"] OK, the diagram helps. With theta defined that way, I confirm that the formula for charge density is indeed a solution. But it's easier to work in terms of angle subtended at the centre of the sphere. Let A be the point where the chord shown touches the sphere at top right. What angle does the chord OA subtend at the centre of the sphere? Call this angle ##\phi##. Consider the circular band width ##d\phi## passing through A. What potential does that produce at O? [/QUOTE]
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Spherical Conductors: Voltage Calculation & Equilibrium | ρs=ρ0cos2theta
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