Magnetic Field from two parallel wires

  • #1

Homework Statement


Each of two long straight parallel wires separated by a distance of 24.0 cm carries a current of 5.00 A
in the same direction. What is the magnitude of the resulting magnetic field at a point that is 14.0 cm
from each wire?

Homework Equations


U0I/2pir
U0I/4pia(cos(theta) -cos(theta2))
B1 + B2 =B

The Attempt at a Solution


I have tried (U0I/2pir)2 as well as U0I/4pia(cos(theta) -cos(theta2)) Where theta 1 is approx 30 and theta 2 is approx 150. r in both equations have been .14. I have also tried U0I/2pi(.14) + U0I/2pi(.24-.14). And a series of other variations which never yield close to the given potential answers. Been working on this for 5 days now.
 
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Answers and Replies

  • #2
Charles Link
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The calculation of the magnetic field is solved for each wire separately using Ampere's Law. This is a vector problem and it can help to draw a diagram with the current from the two wires flowing into the plane of the paper. The magnetic field from each wire is in a circular clockwise direction around each wire when the electrical current points into the plane of the paper.
 
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