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A velocity selector is a device used to select charge q (assume positive for simplicity) particles with roper speed v. Assume the following configuration of static electric E and magnetic B fields, (a) derive e trajectory of the charge particles and (b) the condition that it will go straight without deflection.

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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 select 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 = 505 V/m and B = 0.11 T. B Perspective view AE = 'select v>F'select (a) When protons are used, what speed is selected? m/s (b) What is the speed selected for Ca²+ ions? m/s (c) If you were to use your selector with Fions, what change would be necessary?
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