How Is Force Calculated on a Wire in a Loudspeaker?

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To calculate the force on a wire in a loudspeaker, first determine the steady-state current using Ohm's law, given the resistance of 7.9 Ω and voltage of 11.6 V. The magnetic field strength is 0.2 T, and the wire consists of 270 turns wound on a cylindrical form with a diameter of 3.13 cm. The length of the wire can be calculated from the number of turns and the diameter. It is assumed that the magnetic field is perpendicular to the wire, which is essential for applying the Laplace force equation. Understanding these principles will lead to the correct calculation of the force exerted on the wire.
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Homework Statement


The magnetic field in a loudspeaker is 0.2 T. The wire consists of 270 turns wound on a 3.13 cm diameter cylindrical form. The resis- tance of the wire is 7.9 Ω. Find the force exerted on the wire when 11.6 V is placed across the wire. Answer in units of N.

B=.2
N=270
r=1.565

Homework Equations


I have no idea


The Attempt at a Solution


I have no idea

Please help me. I realize I am supposed to have tried i, but I have spent about haf an hour looking through my textbook and a studybook for similar problems and haven;t found them, googled it, looked through this site and wikipedia, and I have no idea.
 
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stevenbhester said:

Homework Statement


The magnetic field in a loudspeaker is 0.2 T. The wire consists of 270 turns wound on a 3.13 cm diameter cylindrical form. The resis- tance of the wire is 7.9 Ω. Find the force exerted on the wire when 11.6 V is placed across the wire. Answer in units of N.

B=.2
N=270
r=1.565

Homework Equations


I have no idea


The Attempt at a Solution


I have no idea

Please help me. I realize I am supposed to have tried i, but I have spent about haf an hour looking through my textbook and a studybook for similar problems and haven;t found them, googled it, looked through this site and wikipedia, and I have no idea.

I'm guessing you're supposed to ignore the coil's self-inductance. So just find the steady state current of the coil using Ohm's law (the problem statement gives you the resistance and the voltage). You'll need to use this later.

The look up "Laplace Force" or Google Force on a current carrying wire.

You'll find an equation that is a function of the length of the wire. Since the problem statement gives you the diameter of the coil, and the number of turns, it shouldn't be too hard to use those to calculate the length.

I'm guessing that you can assume that the magnetic field is always perpendicular to all of the wire in the coil. If you need a diagram to see what I'm talking about, check out this link:
http://hyperphysics.phy-astr.gsu.edu/hbase/audio/spk.html#c1
 

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