Electron traveling between two plates

  • Thread starter Thread starter talaroue
  • Start date Start date
  • Tags Tags
    Electron Plates
AI Thread Summary
An electron traveling at 4.91×10^7 m/s between two parallel charged plates requires a specific magnetic field strength to avoid deflection. The relevant equations involve balancing the electric force (Fe) and magnetic force (Fm), leading to the relationship Fe = qE and Fm = qVB. The electric field (E) can be derived from the voltage (V) and the distance (d) between the plates, using E = V/d. The final equation for the magnetic field strength (B) simplifies to B = V/(s*q*V), where s is the distance between the plates and q is the charge of the electron. The discussion highlights the importance of using the correct formulas and unit conversions to arrive at the correct answer.
talaroue
Messages
302
Reaction score
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?
 
Physics news on Phys.org
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
 
So then my equation should be (Kq1q2/R^2)/qVB
 
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
 
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?
 
For two parallel charged plates, E = V/d, where V = voltage across the parallel plate and d = distance between the plate
 
oh so instead of using E=KQ1Q1/R^2 I should use E=V/D?
 
Yups
 
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.
 
Back
Top