How to solve this electrostatic potential integral equation with Python

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Discussion Overview

The discussion revolves around solving an electrostatic potential integral equation using Python. Participants are seeking advice on how to approach the integral equation and clarify its components.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant presents the integral equation \(\phi = \int_0^r \phi (r') 4 \pi r'dr'\) and expresses uncertainty about how to proceed with solving it.
  • Another participant suggests looking up resources on the SciPy library for integration.
  • A repeated inquiry about the meaning of \(\phi(r)\) is made, indicating a need for clarification on the variable involved in the equation.
  • Concerns are raised regarding the expression \(4 \pi r'dr'\), with a suggestion that it may actually be \(4 \pi r'^{\,2}\,dr'\), indicating a potential misunderstanding of the integral's formulation.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the formulation of the integral or the meaning of \(\phi(r)\). There are differing views on the correct expression to use in the integral.

Contextual Notes

There are unresolved questions regarding the definitions of variables and the correct formulation of the integral, which may affect the approach to solving the equation.

Ado
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Hi!
I would like solve this kind of relation:

\phi = \int_0^r \phi (r') 4 \pi r'dr'

But I don't know how to proceed...

Can you advise me ?

Thank's in advance !
 
Last edited:
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Look up https://docs.scipy.org/doc/scipy/reference/tutorial/integrate.html.
 
Ado said:
Hi!
I would like solve this kind of relation:

\phi = \int_0^r \phi (r') 4 \pi r'dr'

But I don't know how to proceed...

Can you advise me ?

Thank's in advance !

What is ##\phi(r)##?
 
## 4 \pi r'dr'## looks unfamiliar. You sure it's not ## \ 4 \pi r'^{\,2}\,dr'\ ## ?
 

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