Magnetic field: the Banebridge velocity selector

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Homework Help Overview

The discussion revolves around a problem involving the Banebridge velocity selector, specifically focusing on the relationship between electric and magnetic fields and their effect on a Neon ion beam. The original poster is attempting to determine the mass number of the ion based on given parameters.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster provides calculations for the velocity of the ion beam and its mass, questioning the discrepancy between their result and the expected value from reference materials. Other participants inquire about the specifics of the original poster's question and express uncertainty regarding the correctness of the solution.

Discussion Status

Participants are actively discussing the calculations and results, with some expressing confidence in the original poster's approach while others are questioning the accuracy of the reference material. There is no explicit consensus on the correctness of the results, and the conversation remains open-ended.

Contextual Notes

The original poster mentions that their result is significantly different from the expected value, suggesting a potential issue with the reference material used. The problem is sourced from a translation of a textbook, which may introduce additional considerations regarding accuracy.

Karol
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Homework Statement



The electric field intensity between the plates of the Banebridge velocity selector (I am not a native English speaker …) is 120 [Volt/cm] and the magnetic field magnitude of both fields is 0.6 [Weber/m2].
A singly charged Neon ion beam makes a radius of 7.28 [cm]. What is it's mass number.
The result must be 21, 10 times smaller than mine.

Homework Equations



Velocity of beam: V=[itex]\frac{E}{B}[/itex]
radius of the beam: [tex]R[m]=\frac{mV}{qB}[/tex]
mass number=mass/proton mass: [tex]N=\frac{m}{m_{p}}[/tex]

The Attempt at a Solution



120[Volt/cm]=12,000[Volt/m]

[tex]V=\frac{E}{B}=\frac{12,000}{0.6}=20,000[m/sec][/tex]

[tex]R=0.728=\frac{mV}{qB}=\frac{m*20,000}{1.602\ \times\ 10^{-19}*0.6}\Rightarrow m=3.5\ \times\ 10^{-25}[/tex]

[tex]N=\frac{m}{m_{p}}=\frac{3.5\ \times\ 10^{-25}}{1.672\ \times\ 10^{-27}}=209[/tex]
 

Attachments

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what is your questions exactly?
 
My result is 10 times bigger, according to the book and the periodic table of elements, it should come out 20.9
 
I can't see what's wrong with your solution , it seems okay ..
 
Thanks for your effort, Ihope I'll get another answer before I decide there was a mistake in the book. By the way, it's taken from a translation to Sears & Zemansky, 1964...
 

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