Find the electric field of a point P at a distance r

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Homework Help Overview

The discussion revolves around finding the electric field at a point P located at a distance r from charged conducting shells. The problem involves understanding the effects of charge distribution and the resulting electric fields at various points.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants question the renaming of points and the relevance of calculating additional points to identify errors. There is discussion about the origin of prefactors in the calculations and the implications of charge distribution on the electric field at specific points.

Discussion Status

Participants are actively engaging with each other's reasoning, identifying potential mistakes in calculations, and clarifying the implications of charge distribution. Some guidance has been offered regarding the calculations, but there is no explicit consensus on the final answers yet.

Contextual Notes

There is mention of specific charges on the conducting shells and the implications of these charges on the electric field at points P1, P2, and P3. The problem statement specifies that the shells carry a charge of -Q each, which is under discussion.

Fatima Hasan
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Homework Statement


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Homework Equations


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The Attempt at a Solution


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Can anyone check my answer please ?
 

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Why did you rename the points?

In (a), you are asked about two points only, but calculating it for the third might help to see what went wrong.
Where did the prefactors come from (2,4,6)? It is difficult to find the error if you don't explain how you got these answers.
 
mfb said:
Why did you rename the points?

In (a), you are asked about two points only, but calculating it for the third might help to see what went wrong.
Where did the prefactors come from (2,4,6)? It is difficult to find the error if you don't explain how you got these answers.
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Why do you add and subtract the charge of the conducting shell?

There is no charge at the point of P2 or P3.
 
mfb said:
Why do you add and subtract the charge of the conducting shell?
There is no charge in the conducting shell , so it's zero (+Q-Q=0)
 
The problem statement says the shells carry a charge -Q each.
 
mfb said:
The problem statement says the shells carry a charge -Q each.
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That is correct.
 
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  • #10
haruspex said:
Almost. You have a mistake in P2 at the final step.
It should be ##\frac{kQ}{(r_2)^2}##
 
  • #11
Fatima Hasan said:
It should be ##\frac{kQ}{(r_2)^2}##
Right.
What about part b? Do you wish to reconsider that answer?
 
  • #12
haruspex said:
Right.
What about part b? Do you wish to reconsider that answer?
At P1 : ##E=0## , because ##Q_{enclosed}=0##
At P2 : ##E = \frac{-KQ}{(r_2)^2}##
At P3 : ##E = \frac{-2KQ}{(r_3)^2}##
 
  • #13
Fatima Hasan said:
At P1 : ##E=0## , because ##Q_{enclosed}=0##
At P2 : ##E = \frac{-KQ}{(r_2)^2}##
At P3 : ##E = \frac{-2KQ}{(r_3)^2}##
Yes.
 
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  • #14
haruspex said:
Almost. You have a mistake in P2 at the final step.
Good catch, missed the sign.
 

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