What will be the diameter of your coil?

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SUMMARY

The discussion centers on calculating the diameter of a coil made from a 1.10-meter-long copper wire, designed to generate a 0.800 mT magnetic field at its center with a current of 1.50 A. The relevant equation used is B = (μ₀)(n)(i)/(2r), where μ₀ is the permeability of free space, n is the number of turns, i is the current, and r is the radius of the coil. The user attempts to derive the relationship between n and r and seeks assistance in completing the calculations to determine the coil's diameter.

PREREQUISITES
  • Understanding of magnetic fields and their calculations
  • Familiarity with the formula B = (μ₀)(n)(i)/(2r)
  • Basic algebra for manipulating equations
  • Knowledge of the properties of copper wire and its use in electrical applications
NEXT STEPS
  • Review the derivation of the magnetic field formula for a current loop
  • Calculate the number of turns (n) required for different wire lengths and currents
  • Explore the effects of varying the current on the magnetic field strength
  • Investigate the relationship between coil diameter and magnetic field strength in practical applications
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Physics students, electrical engineers, and anyone involved in designing electromagnetic devices or studying magnetic fields.

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Homework Statement



You have a 1.10-m-long copper wire. You want to make an N-turn current loop that generates a 0.800 mT magnetic field at the center when the current is 1.50 A. You must use the entire wire.

What will be the diameter of your coil?


Homework Equations



B = (mu_0)(n)(i)/(2r)

2(pi)(r)(n) = 1.1 ?

The Attempt at a Solution



0.8 * 10^-3 = 4(pi)*(10^-7)n(1.5)/2r

find n/r from this then:

nr = 1.1/2(pi)

combine the two you get r^2 = ...

I'm not sure if I am going right here although I'm quite positive.. Need help on the calculations.
 
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ok.. if the question was this: You have a 1.0-m-long copper wire. You want to make an N-turn current loop that generates a 1.0 mT magnetic field at the center when the current is 1.0 A. You must use the entire wire.

the answer would be:

http://img10.imageshack.us/img10/8501/picture3vwq.png

now please help me find the answer that corresponds to my values.
 
Last edited by a moderator:
anyone?
 

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