Electromagnetism, finding magnetic field strength

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Homework Help Overview

The problem involves determining the magnetic field strength acting on a copper rod suspended in a magnetic field while carrying an electric current. The scenario includes a copper rod with a specified mass, length, and angle of inclination, prompting a discussion on the forces at play in this electromagnetic context.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to apply relevant equations, such as those relating force, current, and magnetic field strength. There is an emphasis on understanding the geometry of the situation, particularly the angle of the rod and its implications for force calculations.

Discussion Status

Some participants have suggested starting with a free body diagram to visualize the forces involved. There is a developing understanding of how to relate tension in the wires to the magnetic force and gravity, with one participant questioning whether to double the tension due to the two supporting wires.

Contextual Notes

Participants are navigating the complexities of the problem, including the need for additional information such as the area of the rod and the implications of the angle on the calculations. The discussion reflects the constraints of the homework context, where complete solutions are not provided.

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1. A 0.034 kg copper rod is hung by two wires and placed in a constant magnetic field. A current
of 14 A runs through the 0.050 m long copper rod, making it hang at an angle of 34° from the vertical as attached in the diagram.

What is the magnetic field strength holding the copper rod in this position?

A. 27×10-1 T
B. 32×10-1 T
C. 39×10-1 T
D. 48×10-1 T



Homework Equations



[itex]\phi[/itex]=B×Acosa
F=IlB

The Attempt at a Solution



The thing is, I don't really know where to start.

I know that the rod is at 34° (not perpendicular), so I know the formula [itex]\phi[/itex]=B×Acosa has to be involved somehow. However, I'd only be solving for [itex]\phi[/itex] and I don't know the area so that really isn't very helpful.

I'm also given I and l to find B, and the only equation that looks has these variables is F=IlB. But that would me I need to find force and the other equation is F=QvB and we don't have many variables in that one.
 

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Start by drawing a free body diagram.
 
Okay, I think I got it. So I would solve for the force of tension in the wires and that would be the F. Then I would do B=F/Il.

Just one more question: when I finish solving for FT, would I have to double it to find F (since there are two wires)?
 
It's basically a pendulum (use the side view).
If the tension in each wire is T, then the total tension is 2T.
Did you remember the magnetic force and gravity?
 

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