Charged Particles in Electric and magnetic fields

AI Thread Summary
An electron is accelerated through a potential difference of 15.0 kV, resulting in a final speed calculated to be approximately 6383 m/s before entering a magnetic field of 2.35 T. The discussion highlights the relationship between electric potential energy and kinetic energy, using the equation U*q = 0.5*m*v^2. There is some confusion regarding the relevance of the magnetic field since the speed is determined before the electron enters it. The magnetic field's role becomes significant only after the electron is in motion within it. Understanding the work done on the electron is crucial for solving the problem accurately.
sarahdee
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Homework Statement


An electron, initially at rest, is accelerated through a potential diff of 15.0 kv. It is then allowed to circulate at right angles to a uniform magnetic field of strength 2.35 T.
Calculate the electrons final speed before entering the magnetic field.


Homework Equations



f= eq
f=bqv

The Attempt at a Solution



(15000)q = q(2.35)v
(15000)= 2.35v
v= approx. 6383
 
Last edited:
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Yeah OK so what do you know about this topic?
If I understand this correctly, the question is what will the speed of the electron be after it has been accelerated by 15kV's, if it started with v = 0.
 
I just edited my original post,
to show how I worked it out before.
 
But how does the magnetic field have any significance? Doesn't the question ask the speed BEFORE the electron goes into the magnetic field?
 
But won't that leave me with insufficient info?

because I then have to calculate a with (f=ma), using the f=eq formula.
But i will require the time that it is in the field to know it's final speed
 
All you need to know is the total work done on the electron (W=U*q) and and the work-theory or whatever you call it when dE = W. So this gives you the equation U*q = .5*m*v^2 - 0, where q is the charge of the electron and m is it's mass.
 
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