Solving the Charged Particles Homework Statement

In summary, the conversation discusses the arrangement of four charged particles, with three forming a circle and one in the center. The angle between the particles is 120 degrees and the question is posed about the resultant force on the central particle. The attempt at a solution suggests that the system is in equilibrium, as the resultant force is calculated to be 0. The suggestion is made to create a diagram and draw the forces for a better understanding.
  • #1
Aladdin010
2
0

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.
 
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  • #2
you may want to make a diagram, & draw the forces.
you should be able to see something interesting.
 
  • #3
graphene said:
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
 
Last edited:

1. How do I determine the direction of a charged particle's force?

The direction of a charged particle's force can be determined using the right-hand rule. Point your right thumb in the direction of the velocity of the charged particle and your fingers in the direction of the magnetic field. The direction your fingers curl will indicate the direction of the force on the charged particle.

2. How do I calculate the magnitude of a charged particle's force?

The magnitude of a charged particle's force can be calculated using the equation F = qvBsinθ, where q is the charge of the particle, v is its velocity, B is the magnetic field, and θ is the angle between the velocity and the magnetic field.

3. How does the charge of a particle affect its force in a magnetic field?

The charge of a particle has a direct effect on its force in a magnetic field. The greater the charge of the particle, the greater the force it will experience in the field. Conversely, particles with opposite charges will experience forces in opposite directions.

4. Can a charged particle's force change as it moves through a magnetic field?

Yes, a charged particle's force can change as it moves through a magnetic field. This can happen due to changes in the particle's velocity, the strength or direction of the magnetic field, or the particle's trajectory in the field.

5. How do I know if a charged particle will experience a net force in a magnetic field?

A charged particle will experience a net force in a magnetic field if its velocity is not parallel or perpendicular to the magnetic field. If the velocity is parallel, the particle will experience no force, and if it is perpendicular, the particle will experience a maximum force.

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