What is the radius of a charged ion in a magnetic field?

AI Thread Summary
A singly charged positive ion with a mass of 2.50 x 10^-26 kg is accelerated through a potential difference of 250 V before entering a 0.500 T magnetic field perpendicularly. The discussion revolves around calculating the radius of the ion's path in the magnetic field. Attempts to solve the problem include equating magnetic force to electric force and using energy conservation principles. The user struggles with determining the electric field due to a lack of distance information and seeks guidance on finding the radius and velocity. The conversation emphasizes the importance of understanding the relationship between force, charge, and velocity in magnetic fields.
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Homework Statement


A singly charged positive ion has a mass of 2.50 x 10^-26kg. After being accelerated through a potential difference of 250 V, the ion enters a magnetic field of 0.500 T, in a direction perpendicular to the field.

Homework Equations


Calculate the radius of the path of the ion in the field.

The Attempt at a Solution


Firstly, I drew this picture to try to help me with the problem:
http://img411.imageshack.us/img411/4197/picxc7.jpg

I've tried to set Fm = Fe, therefore coming up with the derived equation of V=E/B, but I don't know E.

I then tried to find the electric field by using the voltage, but I don't know the distance. (V=ED)

I also tried setting Fm = Fc, getting Bqv = mv^2/r, and finally resulting in Bqr/v=m. I had B, q, and m, but I didn't have r and v.

Thanks for reading.
 
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Try energy conservation
 
turdferguson said:
Try energy conservation

You're a lifesaver.
 
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