Force per unit length between two parallel whires of +/- X volts

In summary, the problem involves two parallel wires with a distance D between them and a current density L. Each wire has a radius R and potential +/- X Volts. The magnetic field at a distance r perpendicular to the wire can be described by B = μ0*I /(2πr) and the force between the wires is given by F=B×IL. It may be helpful to use J to represent current density in order to avoid confusion. The goal is to find an expression for the force per unit length in terms of the given quantities.
  • #1
kryzlof
3
0

Homework Statement


Two parallel whires, separated by a distance D (midpoint distance), are charged with a current density L (each whire has a radius R). If the whires have the potential +/- X Volts, what is the force per unit length between them?

Homework Equations


B = μ0*I /(2πr) is describing the magnetic field at a distance r perpendicular from the whire.

F=B×IL is describing the force


The Attempt at a Solution


?
 
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  • #2
The L in your second equation is the length of the wire, I think. Current density is the current per unit cross sectional area of the wire. It might be helpful to call this J or something so that you don't get confused.

It seems like a good idea would be to start off by getting an expression for the current in the wires. Your second equation can be rearranged to give the force per unit length in terms of the other quantities in the question.
 

What is the formula for calculating the force per unit length between two parallel wires of +/- X volts?

The formula for calculating the force per unit length between two parallel wires of +/- X volts is F = k * (q1 * q2) / d^2, where F is the force, k is the Coulomb's constant (9 * 10^9 Nm^2/C^2), q1 and q2 are the charges of the wires, and d is the distance between the wires.

How does the voltage of the wires affect the force per unit length between them?

The voltage of the wires does not directly affect the force per unit length between them. However, the voltage determines the magnitude of the charges on the wires, which in turn affects the force per unit length according to the formula mentioned above.

What is the direction of the force between the wires?

The force between the wires is always attractive, regardless of the polarity of the wires. This means that the force will always act towards the opposite wire.

How does the distance between the wires affect the force per unit length?

The force per unit length between two parallel wires is inversely proportional to the square of the distance between them. This means that as the distance increases, the force per unit length decreases, and vice versa.

What are the SI units for force per unit length between two parallel wires of +/- X volts?

The SI units for force per unit length between two parallel wires of +/- X volts are newtons per meter (N/m).

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