Charged Particles in Electric and magnetic fields

In summary, the question asks for the final speed of an electron after being accelerated through a potential difference of 15.0 kV and entering a uniform magnetic field of strength 2.35 T. Using the equations f=eq and f=bqv, the final speed is calculated to be approximately 6383 m/s before entering the magnetic field. The magnetic field is significant in determining the final speed of the electron, as it affects the work done on the electron and ultimately its speed.
  • #1
sarahdee
3
0

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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  • #2
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.
 
  • #3
I just edited my original post,
to show how I worked it out before.
 
  • #4
But how does the magnetic field have any significance? Doesn't the question ask the speed BEFORE the electron goes into the magnetic field?
 
  • #5
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
 
  • #6
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.
 

FAQ: Charged Particles in Electric and magnetic fields

What are charged particles?

Charged particles are subatomic particles, such as electrons and protons, that possess an electric charge. This means they can interact with electric and magnetic fields.

How do electric and magnetic fields affect charged particles?

Electric fields exert a force on charged particles, causing them to move in a certain direction. Magnetic fields also exert a force on charged particles, but this force is perpendicular to the direction of motion and causes the particles to move in a curved path.

What is the relationship between electric and magnetic fields?

Electric and magnetic fields are closely related and can interact with each other. When an electric field changes, it can create a magnetic field, and vice versa. This phenomenon is known as electromagnetic induction.

How do charged particles behave in a uniform electric field?

In a uniform electric field, charged particles experience a constant force and acceleration. The direction of the force depends on the charge of the particle, with positive charges moving in the direction of the electric field and negative charges moving in the opposite direction.

What is the significance of charged particles in electric and magnetic fields?

Charged particles in electric and magnetic fields have important applications in various fields of science and technology. They are used in particle accelerators, electric motors, and generators, and play a crucial role in understanding the behavior of matter at a fundamental level.

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