University of Virginia Equation of Force Balance for Ions Questions

I’m working on a physics multi-part question and need guidance to help me study.

A velocity selector is a device that uses a combination of an electric field and a magnetic field to select particles that are moving at a particular velocity and “eliminate” particles that are moving faster or slower than that velocity. For a velocity selector with fields aligned as below:

– Draw the direction of the force on the ion due to the electric field.

– Draw the direction of the force on the ion due to the magnetic field.

– Derive an equation that will balance the forces on the ion due to the magnetic and electric fields (use Newton’s 2nd law).

– If the magnitude of the electric field is 100 N/C, what does the magnitude of the magnetic field need to be in order to select for 1000 m/s.

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