Forces between two hanging parallel wires

In summary, the conversation discusses finding the current (I) using a free body diagram and equations related to force between two parallel wires. The calculated value for I is 594A and there are two possible equations to use for part C, F=ilB or B=μo*I/(2*π*r).
  • #1
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Homework Statement



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Homework Equations



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The Attempt at a Solution



Is this the correct equation to find the current (I)? I setup a free body diagram for bar 2,

TCos(24)-(.036kg)(9.8m/s^2)=0 (for y)
-TSin(24)+ (Eqtn for force between two parallel wires but with the current squared) (for x)

Then I solved for I, which I got 594A. Once I get I, do I use F=ilBsin(24) for part C? Or do I use the equation for force between two wires but with only I (not I^2)?
 
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  • #2
Your 594 A looks good. I got 596 but wasn't very careful with significant digits. You could use F=ilB but I don't think you want a sin(24) in it. The current and the magnetic field are perpendicular to each other. Or you could use B = μo*I/(2*π*r) since you know the I is the same in the other wire.
 

FAQ: Forces between two hanging parallel wires

What are the forces between two hanging parallel wires?

The forces between two hanging parallel wires are called magnetic forces. These forces are attractive when the currents in the wires are flowing in the same direction and repulsive when the currents are flowing in opposite directions.

What is the equation for calculating the force between two hanging parallel wires?

The equation for calculating the force between two hanging parallel wires is F = (μ₀ * I₁ * I₂ * L) / (2 * π * d), where μ₀ is the permeability of free space, I₁ and I₂ are the currents in the wires, L is the length of the wires, and d is the distance between the wires.

How does the distance between the wires affect the force?

The force between two parallel wires is inversely proportional to the distance between the wires. This means that as the distance between the wires increases, the force decreases, and vice versa.

Can the direction of the force between two hanging parallel wires be changed?

Yes, the direction of the force between two hanging parallel wires can be changed by reversing the direction of the currents in the wires. This will result in the force changing from attractive to repulsive, or vice versa.

What factors affect the strength of the force between two hanging parallel wires?

The strength of the force between two hanging parallel wires is affected by the magnitude of the currents in the wires, the distance between the wires, and the permeability of free space. It is also affected by any external magnetic fields that may be present.

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