Solving for magnetic field from a solonoid

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SUMMARY

The discussion focuses on calculating the magnetic field generated by a Helmholtz coil configuration consisting of two coaxial wire loops with 17 turns each, a radius of 76.6 cm, and a current of 0.131 A. The initial approach using the solenoid formula B = μ₀*i*n was incorrect because it applies only to long solenoids. Instead, the correct method involves treating each coil as a loop of wire, which requires a different calculation for the magnetic field at the center between the coils.

PREREQUISITES
  • Understanding of magnetic fields generated by current-carrying conductors
  • Familiarity with Helmholtz coil configurations
  • Knowledge of the formula B = μ₀*i*n for solenoids
  • Basic principles of electromagnetism
NEXT STEPS
  • Learn how to calculate magnetic fields from circular loops of wire
  • Study the principles of Helmholtz coils and their applications
  • Explore the differences between solenoid and loop magnetic field calculations
  • Investigate the effects of coil separation on magnetic field uniformity
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in the design and application of magnetic field generation using coils.

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Homework Statement



The figure below shows a Helmholtz coil used to generate uniform magnetic fields. Suppose the Helmholtz coil consists of two sets of coaxial wire loops with 17 turns of radius R = 76.6 cm, which are separated by R, and each coil carries a current of 0.131 A flowing in the same direction. Calculate the magnitude and the direction of magnetic field in the center between the coils.

http://www.webassign.net/bauerphys1/28-figure-18a.gif

Homework Equations



Isn't this a simple solonoid? So can't you just plug in the numbers and get the answers? Or does the multiple connections change the problem?

B = u_0*i*n
n = N/L


The Attempt at a Solution



B= (4*pi*10^-7)*0.131*n
It says r is equal to the length. so, n = N/L = 17/0.766

B= (4*pi*10^-7)*0.131*17/0.766
B = 3.653*10^-6 T, but this is wrong. Can anyone point me in the right direction?
 
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For this problem yo are trying to calculate the field between the coils. The formula you are using for a solenoid is therefore not valid as it is only valid in the cenetre of a long solenoid. Try treating each coil as a loop of wire of N turns.
 

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