Balancing magnetic forces on rods

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Homework Help Overview

The discussion revolves around balancing magnetic forces on two parallel rods carrying currents in opposite directions. The original poster seeks to determine the mass of the upper rod required for balance, given the setup of the rods and their separation.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the magnetic force exerted by the lower rod on the upper rod and question how to calculate the magnetic field strength affecting the upper rod.

Discussion Status

Some participants have provided guidance on assuming the lower wire is fixed and have mentioned relevant laws such as Biot-Savart's law and Ampere's law. However, there is still uncertainty regarding the calculation of magnetic field strength and how to apply these concepts.

Contextual Notes

Participants are navigating the constraints of the problem, including the need for specific assumptions about the fixed position of the lower rod and the lack of detailed information on the mass or length of the rods involved.

Will Freedic
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Homework Statement


If two parallel rods are placed 1mm apart, with one directly above the other, each carrying a current I in opposite directions, of length L what is the mass of the upper rod as to balance the force

Homework Equations


F=ILxB[/B]

The Attempt at a Solution


I have little idea of how to go about attempting this solution, thankyou! [/B]
 
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You need to assume the lower wire is held in a fixed position. It exerts a magnetic force ##IL\times B## on the upper wire.
 
Mister T said:
You need to assume the lower wire is held in a fixed position. It exerts a magnetic force ##IL\times B## on the upper wire.
Thankyou, but how do you work the magnetic field strength?
 
Will Freedic said:
Thankyou, but how do you work the magnetic field strength?
Biot-Savart's law or Ampere's law will be useful here.
 
Will Freedic said:
Thankyou, but how do you work the magnetic field strength?

I suggest you look in a textbook. There should be a section on force between long parallel current-carrying wires.
 

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