Calculating Repulsive Force Between Parallel Wires

In summary, the problem involves two wires with a weight of \lambda Lg and an equal but opposite force to maintain equilibrium at a 6.00 degree angle. This force is caused by the repulsion between the currents in the wires, which can be calculated using F=\mu_0\frac{I^2L}{2\pi r}. To solve the problem, the components of the forces in the y and x directions can be found by assigning the tension in each string as T.
  • #1
cdotter
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Homework Statement



[PLAIN]http://img813.imageshack.us/img813/6592/36756643.png

Homework Equations



[tex]F=\mu_0\frac{II'L}{2\pi r}[/tex]

The Attempt at a Solution



The wires have a weight [tex]\lambda Lg[/tex]. They require an equal but opposite force to keep them at equilibrium at 6.00 degrees. This force comes from the repulsion between the oppositely flowing currents in the wires, given by
[tex]F=\mu_0\frac{I^2L}{2\pi r}[/tex]. The distance r between the two wires is [tex]sin(6.00 degrees)*0.0400 m*2[/tex].

I'm stuck at the components of the forces. Could someone give me a hint? I'm terrible at geometry.
 
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  • #2
hi cdotter! :smile:
cdotter said:
I'm stuck at the components of the forces. Could someone give me a hint? I'm terrible at geometry.

hint: call the tension in each string T,

and do components of forces in the y and x directions :wink:
 
  • #3
tiny-tim said:
hi cdotter! :smile:


hint: call the tension in each string T,

and do components of forces in the y and x directions :wink:

Got it, thank you.
 

FAQ: Calculating Repulsive Force Between Parallel Wires

What is parallel wire repulsive force?

Parallel wire repulsive force is a physical phenomenon that occurs when two or more parallel wires carrying electrical currents in the same direction are placed close to each other. The wires experience a repulsive force that causes them to push away from each other.

What causes parallel wire repulsive force?

Parallel wire repulsive force is caused by the interaction between the magnetic fields created by the currents flowing through the wires. The magnetic fields are in opposite directions, and as they interact, they create a repulsive force between the wires.

Can parallel wire repulsive force be attractive?

No, parallel wire repulsive force is always repulsive. This is because the magnetic fields created by the currents in the wires are always in opposite directions, causing them to repel each other.

How is parallel wire repulsive force calculated?

The exact calculation of parallel wire repulsive force depends on factors such as the distance between the wires, the magnitude of the currents, and the properties of the wires. However, it can be calculated using the formula F = μ0 * I1 * I2 * L / (2πd), where μ0 is the permeability of free space, I1 and I2 are the currents in the two wires, L is the length of the wires, and d is the distance between them.

What are the practical applications of parallel wire repulsive force?

Parallel wire repulsive force has various applications in everyday life, such as in electrical motors and generators, where it is used to generate movement and rotation. It is also utilized in magnetic levitation trains and magnetic bearings. Additionally, the repulsive force between parallel wires is important in the design and functioning of electronic circuits and devices.

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