4 identical point charges on a rectangle's corners

In summary, the conversation discusses a problem with four identical point charges on the corners of a rectangle and the calculation of the net electric force on one of the charges. Using Coulomb's law, the force due to each charge is determined and the net force is found by taking the vector sum of the three forces. The dimensions of the rectangle and the charge of the point charges are also provided. The person is planning to resolve the force on one of the charges and find the resultant force.
  • #1
S.U.S
2
0
hi ,, I'm having this problem that i tried to solve but I couldn't so if anyone could help with EXPLANATION I would be greatful

Homework Statement



Four identical point charges (q = +10.0 µC) are located on the corners of a rectangle. The dimensions of the rectangle are L = 60.0 cm and W = 15.0 cm. Calculate the magnitude and direction of the net electric force exerted on the charge at the lower left corner by the other three charges.


Homework Equations



coulomb's law

The Attempt at a Solution



I couldn't really :cry:


P.S : I'm not an english native speaker so if there is any thing wrong above please forgive me

thanks
 
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  • #2
Hi S.U.S. welcome to PF.
If A B C and D are the corners of the rectangle, then using coulomb's law, find the force on D by A, B and C. Forces due to A and C are perpendicular to each other. Resolve force on D due to B into two component. One along AD and another along CD. Find the net forces along these two directions and then find the resultant force.
 
  • #3
yes, the vector sum of the 3 forces is what you want.
(Perhaps you will be surprised to see how large that resultant force is!)
 
  • #4
thanks ,, I'll try and tell you what happens
 

FAQ: 4 identical point charges on a rectangle's corners

What is the electric field at the center of the rectangle created by 4 identical point charges on its corners?

The electric field at the center of the rectangle is zero, since the electric fields created by the charges at opposite corners cancel each other out.

How does the distance between the charges affect the electric field at the center of the rectangle?

The electric field at the center of the rectangle is inversely proportional to the distance between the charges. As the distance increases, the electric field decreases.

Can the charges be of any magnitude or must they be equal for the electric field at the center of the rectangle to be zero?

The charges must be equal in magnitude for the electric field at the center of the rectangle to be zero. If the charges are not equal, there will be a net electric field at the center of the rectangle.

How do the directions of the electric fields created by the charges at the corners affect the net electric field at the center of the rectangle?

The electric fields created by the charges at the corners must be in opposite directions for the net electric field at the center of the rectangle to be zero. If the electric fields are not in opposite directions, they will not cancel each other out and there will be a net electric field at the center of the rectangle.

If we add a fifth charge at the center of the rectangle, what effect will it have on the electric field at the center?

The fifth charge will create its own electric field, which will add to the existing electric fields created by the charges at the corners. The resulting electric field at the center of the rectangle will no longer be zero, but will depend on the magnitude and direction of the fifth charge.

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