Magnetic Field Between Two Wires

  • Thread starter sgoeke
  • Start date
  • #1
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Homework Statement


Two long parallel wires 20 cm apart carry currents of 5.0 A and 8.0 A in the same direction. Is there any point between the two wires where the magnetic field is zero.


Homework Equations


B=muI1I2/(2pir)


The Attempt at a Solution


I set the two B equations equal to each other to solve for r, but am stuck on what to do once I set them equal to each other: B1=B2, muI1/2pir = muI2/2pir
 

Answers and Replies

  • #2
Delphi51
Homework Helper
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Welcome to PF!
I set the two B equations equal to each other to solve for r, but am stuck on what to do once I set them equal to each other: B1=B2, muI1/2pir = muI2/2pir
The trouble with that a point that is r from one wire is not going to be r from the other wire, unless the point is exactly half way between them. You pretty much need to express one of them as r and the other as .20 - r. This limits you to the plane of the two wires, but I think that is the unstated intent of the question. Anyway, you can now put in your known numbers and you'll have a nice equation with only the unknown r to solve for. Go for it!
 

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