Electromagnetism, finding magnetic field strength

AI Thread Summary
A copper rod weighing 0.034 kg is suspended at a 34° angle in a magnetic field while carrying a current of 14 A. To find the magnetic field strength, the relevant equations include F=IlB and the tension in the wires must be considered. The tension can be calculated using a free body diagram, factoring in both the magnetic force and gravitational force acting on the rod. The discussion highlights the need to account for the total tension from both wires, which is 2T, when determining the magnetic field strength. Understanding these forces is essential for solving the problem accurately.
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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



\phi=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 \phi=B×Acosa has to be involved somehow. However, I'd only be solving for \phi 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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