You measure the charge-to-mass ratio q/m for a particle with positive charge in the following way: The particle starts from rest, is accelerated through a potential difference ΔV, and attains a velocity with magnitude v. It then enters a region of uniform magnetic field B=0.200 T that is directed perpendicular to the velocity; the particle moves in a path that is an arc of a circle of radius R. You measure R as a function of ΔV. You plot your data as R2 (in units of m^2) versus ΔV (in V) and find that the values lie close to a straight line that has slope 1.04×10−6 m2/V. What is the value of q/m for this particle?

Y&F 27.51

You measure the charge-to-mass ratio q/m for a particle with positive charge in the following way: The particle starts from rest, is accelerated through a potential difference ΔV, and attains a velocity with magnitude v. It then enters a region of uniform magnetic field B=0.200 T that is directed perpendicular to the velocity; the particle moves in a path that is an arc of a circle of radius R. You measure R as a function of ΔV. You plot your data as R2 (in units of m^2) versus ΔV (in V) and find that the values lie close to a straight line that has slope 1.04×10−6 m2/V. What is the value of q/m for this particle?