Calculating E/M for Helmholtz Coils -- help please

In summary, the conversation discusses the calculation of e/m for data obtained from a laboratory experiment using Helmholtz coils. The student is unsure if their data is incorrect or if they are using the wrong units. They mention getting a value of 1.96 * 10^11, while the expected value is 1.76 * 10^7. They provide the equations and their attempt at a solution, but are unsure if they are using the formula correctly. In the end, the student's professor accepts their answer.
  • #1
grandpa2390
474
14

edit: wait... I think the discrepancy is that I calculated Coulombs per kg? and the accepted value I was looking at was in abcoulombs per kg. If that is indeed the case, then my answer is indeed close to the accepted value of 1.76 * 10^11 Coulomb/kg. 1. Homework Statement

I am trying to calculate e/m for data I got from a laboratory experiment with a helmholtz coils. I am not sure if I have bad data, or if I have a mistaken unit somewheres. I am getting 1.96 * 1011 after I average all my e/m together. I should be getting 1.76 * 107

Am I doing something wrong, or is it my data? I am not going to put all my data up. I will just put some 1 measurement and please tell me if I am using wrong units somewheres.

Homework Equations


http://badger.physics.wisc.edu/lab/manual2/node10_tf.html

e/m = [PLAIN]http://badger.physics.wisc.edu/lab/manual2/img129.gif2.47 x 1012[PLAIN]http://badger.physics.wisc.edu/lab/manual2/img130.gif[PLAIN]http://badger.physics.wisc.edu/lab/manual2/img131.gif[PLAIN]http://badger.physics.wisc.edu/lab/manual2/img132.gif coulombs/kg

The Attempt at a Solution



my measurement is:

accelerated voltage = 40 volts
current for helmholtz coils = 2.46 Amps
Radius of coil = .33 meters
there are 72 turns on each coil
radius of the electron beam = .039 meters

I get 2.25 * 10^11
is this what my data gives me, or am I using the formula incorrectly? I should get 10^7
 
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  • #2
Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
  • #3
no worries. I went ahead and went with what I had. It must have been correct, my professor accepted it.
 

Related to Calculating E/M for Helmholtz Coils -- help please

1. What is E/M and why is it important in Helmholtz coils?

E/M stands for electromotive force, also known as voltage, and it is important in Helmholtz coils because it is used to calculate the magnetic field strength produced by the coils. This information is crucial in many scientific experiments and applications involving magnetic fields.

2. How do you calculate E/M for Helmholtz coils?

The formula for calculating E/M for Helmholtz coils is E/M = 8μNIR² / (125√5), where μ is the permeability of free space, N is the number of turns in each coil, I is the current flowing through the coils, and R is the radius of the coils. This equation takes into account the various parameters that affect the strength of the magnetic field produced by the coils.

3. What are the units for E/M in Helmholtz coils?

The units for E/M in Helmholtz coils are Tesla (T), which is the unit of measurement for magnetic field strength. This unit is derived from the formula for E/M and is equivalent to Newtons per ampere per meter (N/A*m).

4. How do the dimensions of Helmholtz coils affect the calculated E/M?

The dimensions of Helmholtz coils, specifically the radius of the coils, have a direct impact on the calculated E/M. As the radius increases, the magnetic field strength decreases, and vice versa. Therefore, it is important to carefully consider the dimensions of the coils when calculating E/M for Helmholtz coils.

5. Can E/M be calculated for non-uniform Helmholtz coils?

Yes, E/M can be calculated for non-uniform Helmholtz coils. However, the formula used will be different and will take into account the varying magnetic field strength across the coils. This can be a more complex calculation, but it is still possible to determine the E/M for non-uniform Helmholtz coils.

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