What is the Net Force on the Top of an Equilateral Triangle?

Click For Summary
SUMMARY

The net force on the top of an equilateral triangle with negatively charged spheres can be calculated using Coulomb's Law. The forces acting on the top vertex must be resolved into x and y components, with the x components canceling out due to symmetry, resulting in a net x force of zero. The y components must be summed to determine the overall net force, which can then be calculated using the Pythagorean theorem. The direction of the net force is determined using the arctangent function, but with Rx being zero, the direction becomes undefined, indicating a need for additional information regarding the charges involved.

PREREQUISITES
  • Coulomb's Law for calculating electric forces
  • Understanding of vector components in physics
  • Basic trigonometry, specifically tangent and inverse tangent functions
  • Knowledge of equilateral triangle properties and symmetry
NEXT STEPS
  • Study the application of Coulomb's Law in electric force calculations
  • Learn how to resolve forces into components in two-dimensional systems
  • Explore the concept of electric field and potential due to point charges
  • Investigate the implications of charge distribution on net force calculations
USEFUL FOR

Students in physics, particularly those studying electrostatics, as well as educators looking for examples of force calculations in symmetrical charge configurations.

Coco12
Messages
272
Reaction score
0

Homework Statement



Lets say I have an equilateral triangle, and you are asked to calculate the net force on the top of the triangle

Homework Equations



Coulombs Law

The Attempt at a Solution


I know to use Coulombs law to find the forces acting on the top of the triangle, then since it is an equilateral triangle, the angle would be 60 degrees and you use that to find the x and y components of the forces acting on the top.
The x components of the the resultant would cancel out = 0
The y components would be some number. Then you would just use pythagorean theorem to find the overall net force. However when you find the direction: Tan inverse of Ry/Rx

Rx would be 0 therefore it is undefined. Does that mean that the direction of the net force on the top of the triangle would be 0 degrees?
 
Physics news on Phys.org
Seems like your problem statement is missing some information. Why are you using Coulomb's Law? Are there some unmentioned charges attached to this triangle?
 
SteamKing said:
Seems like your problem statement is missing some information. Why are you using Coulomb's Law? Are there some unmentioned charges attached to this triangle?

Yes there are. The spheres are all negatively charged and have the same charge
 
I used coulombs law because it asked the find the magnitude and direction of the net electric force.
 
And what is the permittivity of the turtle's shell?
 
MrAnchovy said:
And what is the permittivity of the turtle's shell?

Ok what?
 
Does anyone have any other input?
 
You have not provided enough information for anyone to understand what you are talking about.

And see this FAQ.
 
ImageUploadedByPhysics Forums1387281425.397433.jpg


U use columbs law for a on b and con b , then you draw it out on a Cartesian plane
Next you find the x and y components of each.
Then you add them together. The x components cancel out
 

Similar threads

Replies
31
Views
1K
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
12K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
6K
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
8K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 7 ·
Replies
7
Views
38K