Solving for magnetic field from a solonoid

AI Thread Summary
The discussion focuses on calculating the magnetic field at the center between two Helmholtz coils, each with 17 turns and a radius of 76.6 cm, carrying a current of 0.131 A. The initial approach used the solenoid formula, which is inappropriate for this configuration since it only applies to long solenoids. Instead, the coils should be treated as individual loops of wire to accurately determine the magnetic field. The correct method involves calculating the contribution from each coil separately and then combining them. This highlights the importance of using the right equations for different magnetic field configurations.
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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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