Electron traveling between two plates

In summary, if you want to allow an electron to travel between the two parallel charged plates without being deflected, you need a magnetic field strength of 203 V.
  • #1
talaroue
303
0

Homework Statement


An electron travels with speed 4.91×107 m/s between the two parallel charged plates. The plates are separated by s=1.47 cm and are charged by a 203 V battery. What magnetic field strength will allow the electron to pass between the plates without being deflected?
----------+------- < postive plate
>>>>O < electron
----------(-)------- < negative plate


Homework Equations



I thought that

Fnet=Fe+Fm
Fe= electric force
Fm=magnetic force


The Attempt at a Solution



Set it equal to zero o=Fe+Fm
Fe=Fm
(Kq1)/(r^2)=qVB

solve for B...that didn't work what am I doing wrong?
 
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  • #2
talaroue said:
Fe=Fm
(Kq1)/(r^2)=qVB

Fe is not (Kq1)/(r^2)

(Kq1)/(r^2) is E ( electric field )

Fe = E x q
 
  • #3
So then my equation should be (Kq1q2/R^2)/qVB
 
  • #4
talaroue said:
So then my equation should be (Kq1q2/R^2)/qVB

You mean (Kq1q2/R^2) = qVB :wink:

Yes that's right, but it's better to use Eq = qVB
Find E, then solve for B
 
  • #5
What charges do I use, I can tell from that equation that the charge of the plates are going to cancel out. So then...
E=VB
Kq/r^2=VB
B=KQ/(R^2*V)

do i assume is half of the distance between the plates?
 
  • #6
For two parallel charged plates, E = V/d, where V = voltage across the parallel plate and d = distance between the plate
 
  • #7
oh so instead of using E=KQ1Q1/R^2 I should use E=V/D?
 
  • #8
Yups
 
  • #9
For some reason it didn't worl
 
  • #10
Why? Have you converted 1.47 cm to m?
 
  • #11
Here is my work...
Fe+Fm=0
Fe=-Fm
Voltage/s(distance between plates)=qV(velocity)B

B=Voltage/(s*q*V)
 
  • #12
The charge (q) has canceled out and even if they haven't, you can subs it with the charge of an electron which is 1.6 x 10^(-19) C
 
  • #13
right that's is what q I used...My professor had his c++ language wrong online so it wouldn't take my answer but he fixed it and my answer is right now.
 

1. What is an electron?

An electron is a subatomic particle that carries a negative charge and is located outside of the nucleus in an atom.

2. How does an electron travel between two plates?

An electron can travel between two plates when there is an electric field present. The electric field exerts a force on the electron, causing it to move from the negative plate towards the positive plate.

3. What is the purpose of an electron traveling between two plates?

The purpose of an electron traveling between two plates is to create an electric current. This current can be used to power electronic devices or perform other tasks such as data transmission.

4. What factors affect the speed of an electron traveling between two plates?

The speed of an electron traveling between two plates can be affected by the strength of the electric field, the distance between the plates, and the charge of the plates. The mass of the electron itself does not affect its speed.

5. Can an electron travel between two plates indefinitely?

No, an electron cannot travel between two plates indefinitely. Eventually, the electric field between the plates will dissipate, and the electron will stop moving. Additionally, other factors such as collisions with other particles can also cause the electron to stop traveling between the plates.

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