Voltage, electric field and potential energy for concentric shells

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Homework Help Overview

The discussion revolves around the electric potential and electric field associated with two concentric charged shells, where one shell is grounded. The original poster seeks to determine the voltage at the center of the shells, the electric field, and the potential energy in that region.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply a formula related to voltage and electric fields but expresses uncertainty about their assumptions regarding the voltage and electric field at the center. Some participants question the clarity of the problem statement and seek further details about the geometry of the shells.

Discussion Status

The discussion is ongoing, with participants providing feedback on the clarity of the problem statement and requesting additional information. There is no explicit consensus yet, as the original poster is still refining their approach and assumptions.

Contextual Notes

Participants note the need for clarification on whether the shells are spherical or cylindrical, which may affect the calculations and understanding of the electric field. The original poster's initial assumptions about the electric field being zero and the voltage values are under scrutiny.

tinesi
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1. Homework Statement

the a shell is charged Va=120v
shell b is grounded, Vb=0V

What is the voltage in the center of shells (vo)?
The electric field in the center of shells?
The potential energy in the center of shells?

Homework Equations


Vr=Va+(1/r-1/a)/(1/a-1/b)Vab (from integrals)
though I am not sure

The Attempt at a Solution


I assume that V0=Va=120V but I don't think so
I assume the field inside is 0

1/ro=1/0=0(?)
Vab=120v?
vo=-120v?
Eo=0?
U=0?
 

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You have not reproduced a proper problem statement. Please spell out the problem exactly as given and give your detailed attempt.
 
Sorry, my first time here. I have written more details.
 
Welcome to the PF. :smile:
tinesi said:

Homework Statement


the a shell is charged Va=120v
shell b is grounded, Vb=0V

What is the voltage in the center of shells (vo)?
The electric field in the center of shells?
The potential energy in the center of shells?
Are the concentric shells spherical or cylindrical? Can you show the integral that is used to calculate the E-field for this geometry?
 

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