Mass of a particle in magnetic field

AI Thread Summary
A positively charged particle with a charge of 1.6 x 10^-19 C is moving at a speed of 1.9 x 10^4 m/s in a magnetic field of 1.0 x 10^-3 T, resulting in a circular path with a radius of 0.40 m. The relevant formula for calculating the mass of the particle is R = (mv)/(qB). By substituting the known values into the equation, the calculated mass of the particle is 3.4 x 10^-27 kg. The discussion highlights the importance of understanding centripetal force in the context of magnetic fields. Overall, the solution provides clarity on how to approach similar problems in the chapter.
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Homework Statement


A positively charged particle (q= 1.6 x 10^-19C) is traveling at 1.9 x 10^4 m/s perpendicular to a 1.0 x 10^-3 T magnetic field. If the radius of the resulting path is 0.40m, what is the particles mass?


Homework Equations



F=Qvb
B= u x N/L x I


The Attempt at a Solution



This chapter has failed to give me an example solution to any questions so far, it's a terribly done online course,
Anyways, I really appreciate any help in solving this, it'll make the rest of the chapter much, much more understandable.
 
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Have you studied uniform circular motion? Have you heard of centripetal force? Sometimes you may have to use what you know from outside the one chapter from which you trying to solve problems.
 
Since magnetic force is perpendicular to the magnetic field, wouldn't centripetal force be not be an issue as the particle is moving perpendicular?
 
Oh, nevermind about the last post there.
How about:
R= (mv)/(qB)
and the particle would be traveling around the field, not in a straight line. My bad on that one.
 
So getting mass from that formula using
.4m= (mx1.9E4)/(1.6E-19 x 1E-3)
The mass would end up being
3.4E-27kg
Let me know if i got this sucker right :)
 
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