A velocity selector is used in accelerator mass spectrometry to select particles

Question

A velocity selector is used in accelerator mass spectrometry to select particles based on their speed. In its most basic form, it consists of a slit into which a charged particle is injected into ......_........._.. an area with perpendicularly-oriented x x electric and magnetic fields (as shown) Suppose a stream of protons is injected x x into the slit and we wish to allow only those with a velocity of 3.00 x 10 m/s to pass undeflected. The magnetic field strength is 1.50 T. a. What must be the magnitude of the electric field? 1. B into x paper x X Suppose the electric field you just calculated is caused by two charged plates that are separated by 10.0 cm. What must the electric potential difference between the two plates? b.

Explanation / Answer

a)

Magnitude of electric field is given by

E=vB=(3*104)*1.5

E=4.5*104 N/C

b)

Electric potential difference between plates is given by

V=Ed =(4.5*104)*0.1

V=4.5*103 Volts

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