Gaussian surface - which charges contribute to the electric field

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Discussion Overview

The discussion revolves around a homework problem involving a Gaussian surface that encloses part of a distribution of four positive charges. Participants explore which charges contribute to the electric field at a specific point and analyze the implications for electric flux through the surface based on different charge considerations.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant initially suggests that none of the charges contribute to the electric field at point P, reasoning that the electric field is zero due to the repulsion of positive charges.
  • Another participant emphasizes the importance of understanding Gaussian surfaces and the relationship between enclosed charges and electric fields, indicating that the flux should be calculated based on the enclosed charge.
  • A later reply corrects the initial claim, stating that all charges contribute to the electric field at P, as Gauss's law considers the total electric field from all charges, not just those enclosed.
  • Regarding the flux, it is proposed that using only q1 and q2 would yield a lower flux compared to using all four charges, as the total enclosed charge would differ.

Areas of Agreement / Disagreement

Participants express differing views on which charges contribute to the electric field at point P and how to interpret the flux through the Gaussian surface. There is no consensus on the correct interpretation of the problem, and multiple competing views remain.

Contextual Notes

Some assumptions about the configuration of the charges and the specific nature of the Gaussian surface may not be fully articulated, leading to potential misunderstandings in the application of Gauss's law.

alex21
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Homework Statement



in the following figure, the dashed line denotes a Gaussian surface
enclosing part of a distribution of four positive charges.

a) which charges contribute to the electric field at P?
b) is the value of the flux though the surface, calculated using
only the electric field due to q1 and q2, greater than, equal to,
or less than that obtained using the field due to all four charges?

Homework Equations



&Phi;=&int;E*A=Q<sub>enclosed/&epsilon;
Φ=∫E*A=Qenclosed/ε

The Attempt at a Solution


a)what I tried to do is to draw the field line of each charge since all of them are positive they will repel each other and at P the electric field will be zero so none of them contributes to the field
b) I don't fully understan question B but I would say that since all charges are equal and for the flux through the surface I will only consider q1 and q2 the flux must be equal

hel please!
 

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I think you should review a gaussian surface and how the electric field and charges contained within relate. Your equation for the flux should be enough to let you know. The subscript for Q_enclosed is precisely that, the charge enclosed in the gaussian surface. Also, this question belongs in the introductory physics homework subforum, not engineering.
 
ok second chance I was wrong about a) I can say now that all of them contribute to field at P because
The electric fiedl in the expression for Gauss´s law refers to the total electric field, not just the electric field due to any enclosed charge.
about question b) the charge enclosed in gaussian surface is q1+q2, if we use the field due to all four charges then the charge enclosed will be q1+q2+q3+q4 therefore the flux through the surface using only q1 and q2 it would be less if we use all four charges.
 
:( no body help me with me question though
 

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