Voltage, electric field and potential energy for concentric shells

AI Thread Summary
The discussion revolves around calculating the voltage, electric field, and potential energy at the center of two concentric shells, where shell A is charged at 120V and shell B is grounded at 0V. The initial assumption is that the voltage at the center (V0) equals 120V, but there is uncertainty regarding the electric field and potential energy values, with suggestions that the electric field (E0) might be zero. Participants request clarification on the geometry of the shells and the integral used for calculating the electric field. The conversation emphasizes the need for a precise problem statement and detailed attempts to solve the equations.
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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