How Do You Calculate Electric Potential at Point P from a Uniformly Charged Rod?

Click For Summary
SUMMARY

The discussion focuses on calculating the electric potential at point P due to a uniformly charged rod with a linear charge density denoted as λ. The solution involves determining the potential contribution from each infinitesimal segment of the rod, represented as dL, and integrating these contributions to find the total potential. The use of Coulomb's constant (k_e) is essential in formulating the expression. The approach requires a solid understanding of calculus to perform the necessary integration.

PREREQUISITES
  • Understanding of electric potential and charge density concepts
  • Familiarity with calculus, particularly integration techniques
  • Knowledge of Coulomb's law and its application in electrostatics
  • Basic concepts of electric fields and their relationship to potential
NEXT STEPS
  • Study the derivation of electric potential from point charges using integration
  • Learn about the application of Coulomb's constant (k_e) in electrostatic calculations
  • Explore the concept of linear charge density (λ) and its implications in electrostatics
  • Investigate similar problems involving electric potential from different charge distributions
USEFUL FOR

Students and professionals in physics, particularly those studying electrostatics, as well as educators looking for clear examples of calculating electric potential from charged objects.

Adn4n
Messages
4
Reaction score
0
The thin, uniformly charged rod shown in the figure has a linear charge density . Find an expression for the electric potential at P. (Use k_e for ke, lambda for , a, b, and L as necessary.)

p25-68.gif


I'm not sure how to tackle this problem, if anyone could come up with the expression so that I have an answer to work towards to, it'd be greatly appreciated.
 
Physics news on Phys.org
Do you know calculus?

Find an expression for the potential caused by each "infinitesimal" length dL, and then sum them with an integral.

- Warren
 

Similar threads

Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
1
Views
2K
Replies
6
Views
4K
  • · Replies 20 ·
Replies
20
Views
7K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K