Electrons are passed through a region containing both a uniform electric field a
ID: 2255831 • Letter: E
Question
Electrons are passed through a region containing both a uniform electric field and a uniform magnetic field.
- The electrons propagate in the x-direction
- The electric field points in the -z-direction
-The magnetic field points in the y-direction
a) If the electric and magnetic fields are adjusted such that the electrons are not deflected, express the velocity in terms of the electric field E and the magnetic field B. Show all of the steps that lead to the answer.
b) If the electric field is turned off, magnetic field will cause the electrons to move along a circular path with a radius of curvature R. WIth the electric field turned off, what is the charge to mass ration q/m in terms of the electric field E, the magnetic field B and the radius of curvature R?
Explanation / Answer
a)
electric force = magnetic force
q*E = q*v*B
==> v = E/B
b) m*v^2/r = q*v*B
==> q/m = v/(r*B)
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