Electric Field due to a Point Charge

Click For Summary
SUMMARY

The discussion centers on the discrepancy between the teacher's solution, which uses 2π, and the textbook's equation, which employs 4π, in calculating the electric field due to a point charge. The confusion arises from the context of the problem, specifically the presence of an infinite line of charge along the z-axis. The correct application of these constants is crucial for accurate calculations in electrostatics.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with Coulomb's Law
  • Knowledge of electric field calculations
  • Basic grasp of calculus for solving integrals
NEXT STEPS
  • Study the derivation of the electric field from point charges
  • Learn about the impact of geometry on electric field equations
  • Explore the concept of line charges and their influence on electric fields
  • Review the differences between 2D and 3D electric field calculations
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, educators teaching electrostatics, and anyone involved in solving problems related to electric fields and charge distributions.

hpayandah
Messages
18
Reaction score
0

Homework Statement


Looking at the picture I have attached the problem is very straight forward. In the denominator of the equations I have posted the teacher uses 2\Pi but the book uses 4\Pi. Can someone please explain to me why is that.


Homework Equations


Book's equation:
attachment.php?attachmentid=59489&stc=1&d=1371058707.jpg

Teacher's Soln:
attachment.php?attachmentid=59490&d=1371058701.jpg


The Attempt at a Solution


Please refer to attached pictures.
 

Attachments

  • Screen Shot 2013-06-12 at 1.33.32 PM.jpg
    Screen Shot 2013-06-12 at 1.33.32 PM.jpg
    5.5 KB · Views: 601
  • Screen Shot 2013-06-12 at 1.29.45 PM.jpg
    Screen Shot 2013-06-12 at 1.29.45 PM.jpg
    21.1 KB · Views: 792
Physics news on Phys.org
I was finally able to solve my problem. By the way from the two y points there is infinite line of charge in the z-axis. Here is my answer:
attachment.php?attachmentid=59492&stc=1&d=1371070711.jpg
 

Attachments

  • IMG_20130612_165511.jpg
    IMG_20130612_165511.jpg
    17.1 KB · Views: 552

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 13 ·
Replies
13
Views
5K
  • · Replies 5 ·
Replies
5
Views
737
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
775
  • · Replies 7 ·
Replies
7
Views
2K
Replies
5
Views
2K
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K