Gaussian surface - which charges contribute to the electric field

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SUMMARY

The discussion centers on the application of Gauss's Law to a Gaussian surface enclosing four positive charges. It is established that all four charges contribute to the electric field at point P, as the total electric field is considered, not just that from enclosed charges. For the flux through the surface, using only charges q1 and q2 results in a lower value compared to using all four charges, as the total enclosed charge directly influences the flux calculation.

PREREQUISITES
  • Understanding of Gauss's Law and its mathematical formulation: Φ=∫E*A=Qenclosed
  • Knowledge of electric fields generated by point charges
  • Familiarity with the concept of Gaussian surfaces in electrostatics
  • Basic principles of charge interactions, specifically for positive charges
NEXT STEPS
  • Study the implications of Gauss's Law in different charge configurations
  • Learn about the behavior of electric fields in the presence of multiple charges
  • Explore the concept of electric flux and its calculation in various scenarios
  • Investigate the differences between enclosed and non-enclosed charges in Gaussian surfaces
USEFUL FOR

Students of physics, particularly those studying electrostatics, as well as educators looking to clarify concepts related to electric fields and 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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