Parallel Wires: Force per Unit Length Calculation

In summary, the force per unit length exerted by one wire on the other wire is 0.00014 N/m. This was calculated using the equation F/L = (permeability)/(2*pi*d) * I^2, with a distance of 6.8 cm and a current of 23.8 A for each wire.
  • #1
Kris1120
42
0

Homework Statement



Two parallel wires are 6.8 cm apart, and
each carries a current of 23.8 A.
The permeability of free space is 4pi ×
10−7 T · m/A.
If the currents are in the same direction,
find the force per unit length exerted by one
of the wires on the other.
Answer in units of N/m.

Homework Equations



F/L = (permeability)/(2*pi*d) * 2I


The Attempt at a Solution



F/L = (4*pi*10^-7 T*m/A)/(2*pi*0.068m) * 2(23.8 A)
= 0.00014 N/m
 
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  • #2
Hi Kris1120,

Kris1120 said:

Homework Statement



Two parallel wires are 6.8 cm apart, and
each carries a current of 23.8 A.
The permeability of free space is 4pi ×
10−7 T · m/A.
If the currents are in the same direction,
find the force per unit length exerted by one
of the wires on the other.
Answer in units of N/m.

Homework Equations



F/L = (permeability)/(2*pi*d) * 2I

This equation is not correct. Do you see what it needs to be?
 
  • #3
I^2 and not 2I!
 
  • #4
Thanks!
 

What is the concept of parallel wires?

Parallel wires refer to two or more wires that run alongside each other in a parallel manner. They are typically used in electrical and telecommunications systems where multiple wires are needed to transmit signals or currents.

How do parallel wires affect electrical resistance?

When two or more wires are placed in parallel, the overall resistance decreases. This is because the current is divided among the wires, resulting in a lower overall resistance. The more parallel wires there are, the lower the resistance will be.

Are there any disadvantages to using parallel wires?

One potential disadvantage of parallel wires is the phenomenon of crosstalk, where signals from one wire may interfere with signals in another wire. This can result in the loss or distortion of the transmitted signal. Additionally, using multiple wires can also increase the cost and complexity of a system.

What is the difference between parallel and series wiring?

In parallel wiring, multiple wires are connected side by side, whereas in series wiring, the wires are connected end to end. In parallel wiring, the voltage remains the same while the current is divided, whereas in series wiring, the current remains the same while the voltage is divided.

What are some common applications of parallel wires?

Parallel wires are commonly used in electrical and telecommunications systems, such as in power distribution grids, telephone and data networks, and speaker systems. They are also used in electronic circuits, such as in resistors and capacitors, to control the flow of current.

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