Magnetic field between 2 parallel wires

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SUMMARY

The discussion focuses on calculating the magnetic field between two infinitely long parallel wires, each carrying a current of 1 amp in the same direction. The relevant formula for the magnetic field at a distance from a single wire is given by B = μI/(2πd), where μ is the permeability constant, I is the current, and d is the distance from the wire. To find the total magnetic field at a point between the wires, one must calculate the magnetic fields due to each wire separately and then perform vector addition, as the fields will be in opposite directions.

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necromanzer52
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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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What is the formula given for the magnetic field at one of the wires?
 
((u)(I))/(2(pi)(d))

Where u is a constant, I is the current, and d is the distance between the wires.
 
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 ??
 
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.
 
Last edited:
Thank you Jimmy... I wish that I had used the term 'vector'... more general than what I said
 
Ah thank you. It appears my physics books, and the internet are conspiring against me.
 

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