Magnetic field between 2 parallel wires

In summary, you have two infinitely long parallel wires carrying a charge of 1 amp in the same direction. You need to find the magnetic field at a specific point in between them, knowing the distance to each wire. The formula for the magnetic field at a distance d from a single wire is B = μI/2πd. Since the wires have current in the same direction, the magnetic fields between them are in opposite directions. To find the total magnetic field at the point, you must calculate the magnetic field at a distance d1 from one wire and at a possibly different distance d2 from the other wire, and then add them together as vectors. Remember to use the formula B = μI/2πd for each wire
  • #1
necromanzer52
12
0

Homework Statement


I have 2 infinitely long parallel wires each carrying a charge of 1 amp in the same direction, and I have to find the magnetic field at a specific point in between them, and I know the distance to it from each of them.


Homework Equations


This is what I'd like to know.


The Attempt at a Solution


I've searched through various books, & websites, and I can't find anything about the magnetic field at a point between them. Only at one of the wires. I basically just want to know what equation I have to use.
 
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  • #2
What is the formula given for the magnetic field at one of the wires?
 
  • #3
((u)(I))/(2(pi)(d))

Where u is a constant, I is the current, and d is the distance between the wires.
 
  • #4
The equation you have given:

B = μI/2∏d is the magnetic field strength at a distance d from a SINGLE wire.

If 2 wires have current flowing in the SAME direction then the magnetic fields between the wires are in OPPOSITE directions... Can you take it from here ??
 
  • #5
necromanzer52 said:
((u)(I))/(2(pi)(d))

Where u is a constant, I is the current, and d is the distance between the wires.
This is not a formula for the magnetic field "at one of the wires" as you indicated. It is the formula for the magnetic field at a distance d from the wire. This is the formula you need. The point you are interested in is at a distance d1 from one of the wires and at a possibly different distance d2 from the other wire. Calculate the two magnetic fields and then add them together. Remember that the magnetic field is a vector, so you will need to do a vector addition, not simpy add the numbers together. technician has given you a good hint in that regard.
 
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  • #6
Thank you Jimmy... I wish that I had used the term 'vector'... more general than what I said
 
  • #7
Ah thank you. It appears my physics books, and the internet are conspiring against me.
 

FAQ: Magnetic field between 2 parallel wires

What is the concept of a magnetic field between 2 parallel wires?

The concept of a magnetic field between 2 parallel wires refers to the interaction between the magnetic fields produced by two wires that are placed parallel to each other. This interaction creates a force that can be either attractive or repulsive depending on the direction of the current in the wires.

What factors affect the strength of the magnetic field between 2 parallel wires?

The strength of the magnetic field between 2 parallel wires is affected by the distance between the wires, the current flowing through the wires, and the permeability of the medium between the wires. The closer the wires are, the stronger the magnetic field will be. Similarly, increasing the current or using a material with higher permeability will also increase the strength of the magnetic field.

How is the direction of the magnetic field determined between 2 parallel wires?

The direction of the magnetic field between 2 parallel wires is determined by the right-hand rule. If you point your thumb in the direction of the current in one wire, the fingers of your right hand will curl in the direction of the magnetic field around that wire. The direction of the magnetic field between the wires will be parallel to the direction of the magnetic field around each individual wire.

What is the formula for calculating the magnetic field between 2 parallel wires?

The formula for calculating the magnetic field between 2 parallel wires is given by B = μ0 * I / (2 * π * d), where B is the magnetic field strength, μ0 is the permeability of free space, I is the current in the wires, and d is the distance between the wires. This formula is known as the Biot-Savart law.

What are some real-world applications of the concept of a magnetic field between 2 parallel wires?

The concept of a magnetic field between 2 parallel wires has various real-world applications. It is used in the construction of electric motors and generators, as well as in the design of magnetic levitation trains. It is also used in medical imaging techniques such as MRI machines. Additionally, it is utilized in industrial processes such as metal sorting and particle acceleration in particle accelerators.

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