Voltage, electric field and potential energy for concentric shells

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SUMMARY

The discussion centers on calculating the voltage, electric field, and potential energy at the center of two concentric shells, where shell A is charged at Va=120V and shell B is grounded at Vb=0V. The voltage at the center (vo) is assumed to be equal to Va, resulting in vo=120V, while the electric field (Eo) inside the shells is determined to be zero. The potential energy (U) at the center is also concluded to be zero. The discussion highlights the need for clarity in problem statements and the importance of specifying the geometry of the shells.

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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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