Potential between concentric spheres

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SUMMARY

The discussion centers on calculating the electric potential \( V \) between two concentric spheres with a particle of charge \( q \) and mass \( m \) moving in a circular path of radius \( r \). The user proposes using the relationship \( E = \frac{V}{d} \) to derive the electric field \( E \) and equate the force \( F = qE \) to the centripetal force acting on the particle. The assumption that the spheres behave like parallel plates is debated, particularly regarding the effects of curvature on the electric field within a spherical shell.

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Homework Statement


A particle charge q and mass m moves in a circle radius r between two concentric spheres which are a distance d apart, where d<<r. There's a potential V between spheres. Find an expression for this potential.

Homework Equations

The Attempt at a Solution


Can I assume that these are like parallel plates so that ##E = \frac{V}{d}##? The ##F = qE## and I can equate that to centripetal force. I'm just not sure if I can say that a sphere inside a spherical shell, which I assume is what the question means, would behave like that because of the curvature.

Thanks for any help!
 
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Kara386 said:
Can I assume that these are like parallel plates so that E=VdE=VdE = \frac{V}{d}? The F=qEF=qEF = qE and I can equate that to centripetal force.

That's what I would do.
 

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