Solving for magnetic field from a solonoid

In summary, the conversation discusses how to calculate the magnetic field between two coaxial wire loops in a Helmholtz coil. It is determined that the formula for a solenoid is not valid in this case, and the recommendation is made to treat each coil as a loop of wire with a certain number of turns. The final answer is 3.653*10^-6 T.
  • #1
Patdon10
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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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  • #2
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.
 

FAQ: Solving for magnetic field from a solonoid

What is a solenoid?

A solenoid is a coil of wire that carries an electric current. It creates a magnetic field when electricity flows through it.

How do you calculate the magnetic field from a solenoid?

The magnetic field from a solenoid can be calculated by multiplying the number of turns in the coil by the current flowing through it, and then dividing by the length of the coil.

What is the direction of the magnetic field inside a solenoid?

The magnetic field inside a solenoid is parallel to the axis of the coil and directed towards the center of the coil.

How does the magnetic field strength change as you move away from a solenoid?

The magnetic field strength decreases as you move away from a solenoid due to the field spreading out over a larger area.

Can the magnetic field from a solenoid be turned off?

Yes, the magnetic field from a solenoid can be turned off by stopping the current flow through the coil or by reversing the direction of the current flow.

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