Total Electric flux on two charges

Click For Summary
SUMMARY

The total electric flux through a spherical Gaussian surface due to two point charges, q1 = 9.00 nC and q2 = -3.00 nC, can be calculated using Gauss's Law. For a radius of 0.500 m, the enclosed charge is 9.00 nC, resulting in a total electric flux of Φ = 9.00 nC / ε₀. For a radius of 1.50 m, the enclosed charge remains 9.00 nC, yielding the same flux value. The net electric field at 0.500 m is determined to be 432 N/C in the positive i hat direction.

PREREQUISITES
  • Understanding of Gauss's Law and its application to electric fields
  • Familiarity with point charge concepts and electric flux
  • Basic knowledge of electrostatics and charge interactions
  • Proficiency in calculus for integrating electric fields
NEXT STEPS
  • Study the derivation and applications of Gauss's Law in electrostatics
  • Learn about electric field calculations for different charge configurations
  • Explore the concept of electric flux in various geometrical shapes
  • Investigate the role of ε₀ (permittivity of free space) in electric field equations
USEFUL FOR

Physics students, electrical engineers, and anyone interested in understanding electric fields and flux in electrostatics.

squintyeyes
Messages
44
Reaction score
0
A point charge q1 = 9.00 nC is located at the origin, and a second point charge q2 = -3.00 nC is on the x-axis at x = 1.00 m. What is the total electric flux due to these two point charges through a spherical Gaussian surface centered at the origin and with radius

(a) 0.500 m?
E = ___________N m2/C
(b) 1.50 m?
E = ___________ N m2/C


so for part a i figure out that the net electric field is 432N/C in the positive i hat direction but what is the da and what are the limits to my integral?
 
Physics news on Phys.org
According to Gauss theorem, total flux across a spherical surface is
Φ = Q/εο, where Q is the net charge enclosed in the given spherical surface.
 

Similar threads

Replies
9
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 26 ·
Replies
26
Views
3K
Replies
23
Views
5K
Replies
4
Views
5K
Replies
5
Views
3K