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. Such a device is call a velocity selector because for one particular value of the particle speed v_select the particle will travel straight through the device without being deflected, whereas particles with speeds that are either less than or greater than v_select will be deflected. Consider a case with E - 500 V/m and B = 0.25 T. When protons are used, what speed is selected? What is the speed selected for Ca^2+ ions?

Explanation / Answer

For such case

qE = qvB

v = E/B = 500/0.25 = 2000 m/s

It will be the same for Ca2+ as it is independent of charge

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