Consider a charged particle moving through a region in which the electric field

Question

Consider a charged particle moving through a region in which the electric field is perpendicular to the magnetic field, with both fields perpendicular to the initial velocity of the particle (see figure below). Such a device is called a velocity selector because for one particular value of the particle speed vSELECT the particle will travel straight through the device without being deflected, whereas particles with speeds that are either less than or greater than vSELECT will be deflected. Consider a case with E = 580 V/m and B = 0.29 T.

a) When protons are used, what speed is selected?

b) What is the speed selected for Ca2+ ions?

c) If you were to use your selector with F- ions, what change would be necessary?

Explanation / Answer

for the partice to be undeflected

magnetic force = electric force

q E =QVB

E = VB    we can see the speed is independent of charge or mass so the speed is same

a) V = 2000 m /sec

b) V = 2000 m /sec

c)V = 2000 m /sec

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