Calculating Magnetic Field Between Parallel Wires

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Homework Help Overview

The problem involves calculating the magnetic field at a specific point due to two parallel wires carrying currents in opposite directions. The wires are positioned 5.60 cm apart, and the task is to determine the magnetic field at point P, which is 8.00 cm from each wire segment.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of the Biot-Savart Law and Ampere's law depending on the length of the wire segments in relation to the distances involved. There are questions regarding the correct interpretation of the problem statement and the appropriate value for 'r' in the calculations.

Discussion Status

Some participants have offered guidance on the application of relevant laws for calculating the magnetic field, while others are clarifying the problem's requirements and exploring different interpretations of the wire segments' lengths.

Contextual Notes

There is mention of the original poster's uncertainty regarding the correct distance to use in calculations, as well as the challenge of rephrasing the problem for clarity.

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Homework Statement



Two parallel wires are 5.60 cm apart and carry currents in opposite directions, as shown in the figure.

Find the magnitude of the magnetic field at point P due to two 1.50-\,{\rm mm} segments of wire that are opposite each other and each 8.00 {\rm cm} from P.


Homework Equations





The Attempt at a Solution


I don't know what to us for r or I'm using the wrong equation

but i used muenot Itop/(2pi r) + muenot I bottom/(2pi r) where r was the sqrt(8^2 +8^2)


 
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I think you should use the Biot-Savart Law.
 
Find the magnitude of the magnetic field at point P due to two 1.50-\,{\rm mm} segments of wire that are opposite each other and each 8.00 {\rm cm} from P.

Can you rephrase that line so it is readable? I don't know what they are asking now...

If they're asking the magnetic field for only small segments of the wire than yes, use Biot-Savart.

If they're asking the magnetic field for large segments of the wire (nearing infinite in relation to the other distances) then you can probably use Ampere's law ( int B * dl = ...)
 
got it

I can't post pics yet. but i got it anyway I was using the wrong thing for r on each magnetic field.
 

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