Find Tension in String Connecting Two Charged Spheres

In summary, two charged objects of charge q are subject to electrostatic force according to Coulomb's law, but also experience tension from the string connecting them. The net force on each sphere can be calculated by considering both forces acting on it.
  • #1
vex390
4
0
Two charged objects of charge q.

Coulomb's law states that the force on one sphere by the field of the other is:

F = qE

But each sphere experiences that, correct? So the tension for the string would be 2F. Is that correct?
 
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  • #2
No.

Take one of the spheres and write sum of forces on it = 0 (since the sphere is not accelerating).
.
 
  • #3
Welcome to PF.

Let's think about this. Each charged sphere has two forces exerted on it. Some questions to help you think about the situation:

1. What are the two forces acting on one of the spheres? (Take the sphere on the left, for example). Obviously one of the forces is the electric force as given by Coulomb's law, so this question is really asking you to identify another force that acts on a sphere.

2. What is the acceleration of that sphere -- and therefore ...

3. What is the net force acting on that sphere?
 
  • #4
Well there's the force of the first particle1 onto the particle2 and then there's the equal and opposite reaction from particle 2's force onto particle 1.
 
  • #5
vex390 said:
Well there's the force of the first particle1 onto the particle2 and then there's the equal and opposite reaction from particle 2's force onto particle 1.
No, you're still trying to look at it from both perspectives at once. Concentrate on the forces to which one sphere is subjected. That's both electrostatic force and tension.
 

Related to Find Tension in String Connecting Two Charged Spheres

1. What is the formula for finding tension in a string connecting two charged spheres?

The formula for finding tension in a string connecting two charged spheres is T = k(Q1Q2)/r^2, where T is the tension, k is the Coulomb's constant, Q1 and Q2 are the charges of the spheres, and r is the distance between the centers of the spheres.

2. How is the tension affected by the distance between the charged spheres?

The tension in the string is inversely proportional to the square of the distance between the charged spheres. This means that as the distance increases, the tension decreases and vice versa.

3. What happens to the tension if the charges of the spheres are increased?

If the charges of the spheres are increased, the tension in the string will also increase. This is because the Coulomb's force between the charged spheres is directly proportional to the product of their charges.

4. Is the tension in the string the same throughout its length?

No, the tension in the string is not the same throughout its length. It is highest at the points where it is attached to the charged spheres and decreases as we move towards the center of the string.

5. Can the string break due to the tension between the charged spheres?

Yes, depending on the strength of the string and the magnitude of the charges, the tension can be strong enough to break the string. This is why it is important to use a strong and durable string when conducting experiments involving charged spheres.

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