velocity of an ion given the potential difference it is accelerated through?by runran Tags: accelerated, difference, potential, velocity 

#1
Jun1106, 11:51 AM

P: 6

I'm trying to find the mass of an unknown ion and I think the equation I'm down to to find the mass only requires me to determine the velocity before I can calculate mass  but I don't know how.
Could anyone help me out and direct me to an equation(s) that would help me find the velocity of some ion given that it was accelerated through a potential difference of 7.0 kV before entering a magnetic field? I'm not familiar with how to find the velocity with just that info. Don't know if this would be relevant, but B=1.2 T. Sorry, I'm just clueless. (Don't even know if it is possible to calculate velocity with that... if it's not, please tell me ^^;) Thank you. 



#2
Jun1106, 12:04 PM

Sci Advisor
HW Helper
P: 2,886

EDIT: This assumes that the ion had no speed before being accelerated through the potential difference otherwise q Delta V is the change of kinetic energy. And it also assumes that potential of the plates is such that the ion is sped up, not slowed down. But those two assumptions are usually implicit in this type of problem. 



#3
Jun1106, 12:09 PM

Emeritus
Sci Advisor
PF Gold
P: 9,789

[tex]V = \frac{\text{work}}{q}[/tex] and this can be regarranged to obtain; [tex]\text{work} = V\times q[/tex] 



#4
Jun1106, 12:17 PM

P: 6

velocity of an ion given the potential difference it is accelerated through?
Ok, thanks to you both =) I think I can hash out an answer now.



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