a charged particle in an electrical field: E=F/q or rearranged as F=qE
goes back to A.1 — SUVAT
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.