# What are the Forces on parallel ac conductors

1. Jun 12, 2012

### Tracer

The Scenario:
Two long parallel conductors A and B are carrying an ac current with a wave length of λ. The conductors are separated in distance at all points by λ/4 and the ac current phase of conductor A leads the ac current phase of conductor B by λ/4 at all points mutually at right angles between the two conductors.
The Problem:
Conductor A will always be in a field radiated from Conductor B that is exactly in phase with the actual phase of conductor A's current. Consequently conductor A will experience a force directed toward conductor B.
Conductor B will always be in a field radiated from conductor A that is exactly 180° out of phase with with the actual phase of conductor B's current. Consequently conductor B will experience a force directed away from conductor A.
Since forces on both conductors are in the same direction it seems that a net force would exist that would tend to move both conductors in a direction from conductor A towards conductor B.
The question: Why will this not happen?

2. Jun 13, 2012

### tiny-tim

Hi Tracer!

What is the effect of the varying magnetic field?

3. Jun 13, 2012

### Tracer

Aside from inducing currents in other conductors?

This is not a homework problem tiny-tim. It is a scenario that I have never seen addressed anywhere.
a more graphic of the problem is presented in the EMRPHASES1.doc atachment.

Regards, Tracer.

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