(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the force on a moving charged particle F = qv × B

from a magnetic ﬁeld pointing perpendicular to the velocity produces a centripetal force and that this is equivalent to the equation pc = ABρ, where B is the magnetic ﬁeld strength (in Tesla) and ρ is the radius of the circular orbit (in meters). If we express p in GeV/c, what

is the value of the constant A (which has units GeV/T-m) for a proton?

2. Relevant equations

3. The attempt at a solution

I had no trouble with the first part of the problem. Since v is perpendicular to B, I just used F=(mv^2)/r and then multiplied both sides by c to get pc = qcB(rho). Now I have A = qc = 1.6x10^-19 C x c, however this is my first time working with eV units and am a bit lost on how to go about converting 'charge*c' to GeV/T-m.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Particle moving in electromagnetic field - converting units

**Physics Forums | Science Articles, Homework Help, Discussion**