How Is Force Calculated on a Wire in a Loudspeaker?

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SUMMARY

The force exerted on a wire in a loudspeaker can be calculated using the magnetic field strength of 0.2 T, the number of turns (270), and the resistance of the wire (7.9 Ω) when a voltage of 11.6 V is applied. To find the current, apply Ohm's Law, which states that current (I) equals voltage (V) divided by resistance (R). The length of the wire can be determined from the diameter of the cylindrical form (3.13 cm), and the Laplace Force equation can be utilized to calculate the force on the wire.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with the Laplace Force equation
  • Knowledge of magnetic fields and their effects on current-carrying conductors
  • Ability to calculate the length of wire from the number of turns and diameter
NEXT STEPS
  • Learn how to apply Ohm's Law in practical scenarios
  • Research the Laplace Force equation and its applications
  • Study the relationship between magnetic fields and electric currents
  • Explore calculations involving the geometry of coils and their effects on electrical properties
USEFUL FOR

Students studying physics, electrical engineers, and anyone interested in understanding the mechanics of loudspeakers and electromagnetic forces.

stevenbhester
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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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