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It is possible to use crossed electric and magnetic fields to construct a veloci

ID: 1593769 • Letter: I

Question

It is possible to use crossed electric and magnetic fields to construct a velocity selector, a device that only passes charged particles having a certain ve- locity. One way of constructing such a velocity se- lector is shown in below: ions are sent through a re- gion of space where there is a uniform magnetic field (directed upward out of the page) and a uni- form electric field acting in the direction shown (upward in the plane of the page). Only ions having a specific speed will be able to travel in a straight line through this apparatus. If the magnetic field strength is B = 3.0 MN/C, what electric field strength would you want to select ions having a

Explanation / Answer

Force due to Magnetic Field is given by, F = q*vB
Now if the ion has to travel in staright line, The Electric force should counter the magnetic force.
So,
q* v*B = q* E
E = v*B
E = 0.01 c * 3.0 * 10^6 N/C
E = 3000 c N/C
E = 30 c KN/C

You have not mentioned what is the value of c?
Please put in above eq to get the final answer !!

Answer does not depend on mass of the ion or sign of the charge or magnitude of the charge.

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