Charged particle entering velocity selector

AI Thread Summary
In a velocity selector, charged particles experience both electric and magnetic forces, which must be balanced for the particles to pass through undeflected. The magnetic force acts upward while the electric force acts downward. The condition for straight motion is derived from the equation qVB = qE, leading to the speed expression v = E/B. Particles with speeds greater than this value will deflect upward, while those with lower speeds will deflect downward. For protons in an electric field of 2.0 x 10^5 N/C and a magnetic field of 0.30 T, the speed for no deflection is calculated to be 1.5 x 10^-6 m/s.
britt
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1. The problem
A velocity selector consists of a parallel plate capacitor placed in an outside magnetic field (see figure). Charged particles entering the velocity selector experience an electric and a magnetic force (neglect effects due to gravity). Given is the setup in the figure below (attached)

a) What is the direction of the magnetic force?
b) What is the direction of the electric force?
c) When the two forces are equal the particle will move straight through the velocity selector. Derive an expression for the speed v that fulfills this condition.
d) What happens to particles that have a speed larger than v? What happens to particles that have a speed smaller than v?
e) Protons move through a velocity selector with E = 2.0 · 10^5 N/C and B= 0.30 T. What is the speed of a proton that is not deflected?

Homework Equations

(negatives are supposed to be vectors)
\overline{}FB=q\overline{}v x \overline{}B
\overline{}Fe = q\overline{}E
FB=qVB
Fe=qE

The Attempt at a Solution


a) up
b) down
c) qVB=qE
VB=E
V=B/E
d)it will deflect up, it will deflect down
e) v=(.30)/(2.0*10^5)= 1.5*10^-6 m/s
Just want to know if I am doing this correctly
 

Attachments

  • velocity selector.png
    velocity selector.png
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It looks correct.

ehild
 
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