D.3 Motion in electromagnetic fields

a charged particle in an electrical field: E=F/q or rearranged as F=qE

• electric field (E), force (F), charge of the particle (q)

goes back to A.1 — SUVAT

• newton’s 2nd law — F=ma, therefore rearranging the equation to ma = qE

  • calculate the acceleration experienced by a charged particle by rearranging for a — a = qE/m

negatively charged particles accelerate opposite to where a positive plate is foundl postively charged particles accelerate the sme direction of positive to negative charge

work done by the field = change in kinetic energy of the particle

therefore, W = q[delta]V_e

• where W represents the work done, q is the charge of the particle, and ( \Delta V_e ) is the change in electric potential energy. This relationship indicates that the work done by the electric field is directly proportional to the charge of the particle and the potential difference it moves through.