Force on 3 current carrying wires

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Homework Help Overview

The problem involves two long parallel wires carrying currents in opposite directions and a third wire positioned between them. Participants are tasked with determining the magnetic field at specific points and the force on the third wire due to the fields generated by the first two wires.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the force on the third wire using different geometric interpretations, including treating the setup as a straight line and as a triangle. Some participants question the need for angles in this context, suggesting that all wires are in the same plane.

Discussion Status

The discussion is ongoing, with participants exploring various methods to approach part (c) of the problem. There is a request for clarification on the geometric considerations involved in the calculations, indicating that multiple interpretations are being examined.

Contextual Notes

Participants are working under the constraints of the problem statement and are navigating the complexities of the geometry involved in calculating forces between the wires.

jmr423
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Homework Statement



Two long fixed parallel wires, A and B, are 10cm apart in air and carry 40 A and 20 A, respectively, in opposite directions. Determine the resultant field (a) on a line midway between the wires parallel to them and (b) on a line 8.0 cm from wire A and 18cm from wire B (c) what is the force per meter on a third long wire, midway between A and B and in their plane, when it carries a current of 5.0A in the same direction as the current in A?

Homework Equations


F=BILsin(angle)
B= (2(10^7)I)/r

The Attempt at a Solution



I have solved part (a) and (b) i need help with (c) I have calculated the forces on them
A on C = 1E-4 towards
B on C = 2.2E-5 away

I tried to calculate it as though its on a straight line and also as though its making a triangle. for the triangle i used the angle ACB through the distances i have in cm. but it did not work.

Answers A) 2.4E-4T, B7.8E10-5T C 1.5E-3N/, toward A
 
Last edited:
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hi jmr423! :smile:
jmr423 said:
Two long fixed parallel wires, A and B, are 10cm apart in air
…
(c) what is the force per meter on a third long wire, midway between A and B and in their plane, when it carries a current of 5.0A in the same direction as the current in A?
…
I tried to calculate the angle ACB through the distances i have in cm. …

what angle? :confused:

they're all in the same plane :wink:​
 
tiny-tim said:
hi jmr423! :smile:what angle? :confused:

they're all in the same plane :wink:​

:S when i treat it as though its on a plane i get no where... i have tried a bunch of different things and nothing is working to solve c.
 
Last edited:
show us what you've tried (in the same plane) :smile:
 

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