Force per unit length of wires-

In summary, the question asks for the distance in the positive y direction at which a third wire with a current of 10 amps should be placed between two wires with currents of 13.9 amps and 4.5 amps respectively, in order for the force per unit length from both wires to cancel out. The formula for force per unit length is given and the task is to find an equation to solve for the distance between the third wire and the first wire.
  • #1
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Homework Statement


Two wires have current both running in the positive x direction as shown in the diagram with I1 = 13.9 amps and I2 = 4.5 amps. They are separated by a distance of d = 4.7 meters. A third wire with I3 = 10 amps is placed somewhere between the two wires with current running in the positive x direction. How far above (in the positive y direction) above I1 should I3 be placed such that the force per unit length from both wires acting on I3 be equal to zero? Answer in meters.

The diagram is basically an x-y plane, with three wires going in the positive x direction.

-----------> I2
-----------> I3
|-----------> I1

Homework Equations



Force/ unit length= u0 I1 I2/ 2pi D

The Attempt at a Solution



I know that the force per unit length of wire 1 must equal wire 2 so there is no net force per unit length, but I'm not exactly sure how to do this. How do I write an equation that allows us to do this to find the distance from I3 to I1?

Thank you.
 
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  • #2
Can anyone please help me out? THanks
 

What is the force per unit length of wires?

The force per unit length of wires, also known as tension, is the amount of force applied to a wire per unit length. It is measured in units of Newtons per meter (N/m).

How is the force per unit length of wires calculated?

The force per unit length of wires can be calculated by dividing the total force applied to the wire by its length. It can also be calculated by multiplying the wire's cross-sectional area by the tensile strength of the material.

What factors affect the force per unit length of wires?

The force per unit length of wires can be affected by various factors such as the material and thickness of the wire, the amount of weight or load being applied, and the temperature of the environment. The type of force, whether it is tensile, compressive, or shear, can also affect the force per unit length.

Why is the force per unit length of wires important in engineering?

The force per unit length of wires is important in engineering because it helps determine the strength and durability of a wire. It is crucial in designing structures and machines that can withstand the forces applied to them without breaking or deforming.

Can the force per unit length of wires be increased?

Yes, the force per unit length of wires can be increased by using thicker wires or materials with higher tensile strength. Additionally, proper installation and support of the wires can also help increase their overall tension and force per unit length.

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