Magnetic field between 2 parallel wires

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Homework Help Overview

The original poster is investigating the magnetic field created by two infinitely long parallel wires carrying equal currents in the same direction. They seek to determine the magnetic field at a specific point located between the wires, with known distances from each wire.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relevant formula for the magnetic field due to a single wire and question how to apply it to the scenario of two wires. There is an emphasis on understanding the vector nature of the magnetic fields produced by each wire.

Discussion Status

Some participants have provided clarifications regarding the formula for the magnetic field and its application to the problem. There is acknowledgment of the need for vector addition when considering the contributions from both wires, though no consensus on a complete solution has been reached.

Contextual Notes

Participants note that the original poster has expressed difficulty in finding relevant information in textbooks and online resources, indicating a potential gap in available guidance on this specific setup.

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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