Coulomb's Law in Two Dimensions

Click For Summary
SUMMARY

Coulomb's Law in two dimensions involves calculating the net force on a charge due to other charges in a plane. The formula F = k x q1q2/R^2 is essential for determining the force between charges. Understanding how to resolve vectors into x and y components is crucial for solving these problems effectively. The principle of superposition is also a key concept, allowing for the calculation of net forces from multiple charge interactions.

PREREQUISITES
  • Understanding of Coulomb's Law and its formula F = k x q1q2/R^2
  • Knowledge of vector resolution into x and y components
  • Familiarity with the principle of superposition in physics
  • Basic trigonometry for calculating angles and distances
NEXT STEPS
  • Study vector resolution techniques in physics
  • Learn about the principle of superposition in electrostatics
  • Practice problems involving multiple charges and net force calculations
  • Explore advanced applications of Coulomb's Law in two-dimensional systems
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics and vector analysis, as well as educators looking for teaching resources on Coulomb's Law.

hsadiq98
Messages
4
Reaction score
0

Homework Statement


Three charges, q1, q2, and q3, lie in a plane, as shown below. Find the net force on charge q2 (please refer to attachment for diagram)

Homework Equations


F= k x q1q2/R^2, knowledge of trig functions and separating x and y components

The Attempt at a Solution


So I found the hypotenuse for the triangle but how do I find the other variables? There aren't any examples in my book to deal with these type pf questions. Any explanations would greatly help me understand the concept and how to solve these type of questions as I am sure they'll show up in my final. Thank you.
 

Attachments

Physics news on Phys.org
Do you know how to resolve a vector into x and y components?
 
Chestermiller said:
Do you know how to resolve a vector into x and y components?
A little bit, yes
 
Use the principle of superposition. Also, review how to resolve vectors into components, since you will be using it a lot in the study of electrostatics and other areas of physics.
 
hsadiq98 said:
A little bit, yes
So if you knew the magnitude of the force of q1 acting on q2 and the angle that this force makes with the x axis, you could determine the x and y components of this force, correct?
 

Similar threads

Replies
3
Views
1K
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
18
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
17
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 12 ·
Replies
12
Views
5K
  • · Replies 14 ·
Replies
14
Views
6K