Work done by electric force on a point charge in a cylinder?

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Homework Help Overview

The problem involves a point charge being moved inside a hollow charged cylinder, with specific initial and final positions defined. The central question is about the work done by the electric force during this movement.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss whether work is done by the electric force, with one suggesting that no work is done due to the potential being constant. There is also a focus on clarifying the geometry of the problem, distinguishing between a cylinder and a sphere.

Discussion Status

The discussion is exploring the nature of the charged object (cylinder vs. sphere) and whether it is a conductor or an insulator. Some participants have provided clarifying questions and assumptions about the charge distribution, while others have expressed agreement on the potential being constant inside a uniformly charged cylinder.

Contextual Notes

There is a lack of specific information regarding the charge density and the type of charge distribution in the cylinder, which is relevant to the discussion of electric potential and work done.

cesaravila
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Homework Statement



A point charge q is moved inside a hollow charged cylinder of radius R. The initial point A is a distance (3/4)R from the center and the final point B is at the center of the sphere. How much work is done by the electric force in this case?

2. The attempt at a solution

I am thinking that no work is done because its equipotential, but I am not certain its equipotential.
 
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cesaravila said:

Homework Statement



A point charge q is moved inside a hollow charged cylinder of radius R. The initial point A is a distance (3/4)R from the center and the final point B is at the center of the sphere. How much work is done by the electric force in this case?

2. The attempt at a solution

I am thinking that no work is done because its equipotential, but I am not certain its equipotential.
Hello cesaravila. Welcome to PF !

In one place you mention a cylinder. In another you mention a sphere.

Which is it ?
 
SammyS said:
Hello cesaravila. Welcome to PF !

In one place you mention a cylinder. In another you mention a sphere.

Which is it ?

It is a cylinder. The final point B is at the center of the cylinder.
 
Is the cylinder a conductor? A uniformly charged non-conductor? Any mention of the charge or charge density?
 
haruspex said:
Is the cylinder a conductor? A uniformly charged non-conductor? Any mention of the charge or charge density?


It is a charged insulator.
 
cesaravila said:
It is a charged insulator.
Assuming it is a uniform charge and a long cylinder, I agree the potential should be constant inside.
 

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