Levitating Wire in Uniform Magnetic Field: Solving for Magnetic Field Strength

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Homework Help Overview

The discussion revolves around a physics problem involving a wire carrying current in a uniform magnetic field. The wire is intended to be levitated, and participants are tasked with determining the necessary magnetic field strength to achieve this levitation, given specific parameters such as current and linear mass density.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about the relevant equations needed to solve the problem and question the forces acting on the wire. There is a focus on understanding the conditions required for the wire to remain levitated without falling.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the forces involved and the necessary equations. Some hints have been provided regarding the forces acting on the wire, but there is no consensus on how to proceed with the solution.

Contextual Notes

Participants are grappling with the lack of information regarding the direction of the magnetic field and the specific forces acting on the wire, which are crucial for solving the problem.

mar7pau
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1. I have a wire that is stretched so that the current is coming directly at me, out of the page. It is shown as a dot on the screen or page. The wire is in a uniform horizontal magnetic field shown as horizontal lines. The direction of the magnetic field is not shown in the figure. Choose and show the direction by drawing arrowheads on the lines, so that the wire can remain where it is, levitated, without crashing to the ground. The wire is carrying a current of 2.00A and has a linear mass density of 2.50 x 10^-4 kg/m. Find the magnitude of the magnetic field which will keep the wire levitated.


2. I'm not sure what Relevant equations to use

3. I need equations in order to try the attempt at a solution and I'm honestly really confused with this one.
 
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Hint: What forces are acting on the wire (there are two of them)? Do you know the magnitude and direction of either of these forces? What must the net force be on the wire for it to levitate in place?
 
I honestly do not even know how to get the magnitude without knowing the magnetic field. This one has me very confused. Please help a little further if possible please?
 
Again, what two forces are acting on the wire (just name the forces to start with)?
 

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