Magnetic field: the Banebridge velocity selector

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
4 replies · 2K views
Karol
Messages
1,380
Reaction score
22

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

Physics news on Phys.org
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...