Distance for charge to travel through magnetic field

AI Thread Summary
To determine the distance a charge travels through a magnetic field after being accelerated between charged plates, the mass of the charge (proton or electron) and the magnetic field strength are crucial. The charge will follow a curved path due to the Lorentz force, with the radius of the arc calculable using the formula radius = mv / |q|B, where m is mass, v is velocity, q is charge, and B is the magnetic field strength. The discussion highlights the need to calculate the vertical displacement of the charge to find the exit point from the magnetic field. A triangle can be drawn to visualize the exit distance based on this arc. Understanding these principles is essential for solving the problem accurately.
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Homework Statement


In the diagram below, an elementary charge (either an electron or a proton, you decide) is accelerated between two charged plates into a magnetic field. The mass of the proton = 1.67x10^-27 kg. The mass of an electron = 9.11x10^-31 kg.

D. Find the distance from the entrance point to where the charge

Homework Equations




The Attempt at a Solution



I know that the electron is going to arc up while going through the field, but I don't know how to find how much it arcs up and therefore the point at which it exits. FYI, the field is 10cm x 10cm, and starts right after the proton moves through the hole in the plate. How do I figure it out from here? Is there a way to figure out how far up the proton will move vertically? If so, I could draw a triangle and find the distance to where it exits
 
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If the velocity is perpendicular to the magnetic field you can find the radius of the arc by mv / |q|B

Not sure if this is the right approach but it might help.
 
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