Question

A proton moves through a region of space where there is a magnetic field B⃗ =(0.65i+0.37j)T and an electric field E⃗ =(3.1i−4.4j)×103V/m. At a given instant, the proton's velocity is v⃗ =(5.4i+2.9j−5.1k)×103m/s. Find Fx, Fy, Fz in N

Answer 1

The total force on the proton is

                     F = e(E + v x B)

                        = e{(3.1i -4.4j) x 10³V/m + [(5.4i + 2.9j - 5.1k) x 10³m/s x (00.65i + 0.37j)T]}

                        = (1.60 x 10^-19C)[(3.0i - 4.2j) + (1.887i -3.315j 0.113k)] x 10³V/m

                        =   (7.82i - 12.024j - 0.1808k)] x 10^-16N.