Solving the Charged Particles Homework Statement

[Aladdin010]

Homework Statement

Given three equal(1,2,3) (negative) charged particles , forming a circle ; and a charged particle on the center of the circle(#4).

360/3 = 120 . The angle between the charged particles are 120 degrees.

Homework Equations

1) First Case : Find the resultant force on q4 applied by q1,q2,q3 knowing that q1=q2=q3=q4.If q4>0.

2)Second case : Same as before , if q4<0.

Comment on the solution : Is there equilibrium

The Attempt at a Solution

F4 = F1/4 + F2/4 + F3/4 : All as a vector.

But F1/4 +F3/4 = -F2/4 : Replace in the equation F4 = 0 ,there is equilibrium . . .







Thanks in advance.

 

[graphene]

you may want to make a diagram, & draw the forces.
you should be able to see something interesting.

 

[Aladdin010]

you may want to make a diagram, & draw the forces.
you should be able to see something interesting.

My update is that , for the first case the resultant force = 0 = F3/4 - 2(F1/4)sin30 =
F3/4 - F1/4 = 0. ?!

The system is in equilibrium.

Any help will be greatly appreciated