An infinite conducting sheet lies in the x-y plane, carrying a current per unit x-length of = 0.5 A/m in the positive y-direction. The magnitude of the field due to the sheet is given by 0.50 at all points above and below the sheet. At t = 0, an electron (m = 9.11 x 10^-31 kg) is 10 cm above the sheet (i.e., positive z-direction) traveling 0.5 x 106 m/s in the positive y-direction.

a. Find the magnitude and direction of the force on the electron at t = 0. (15 pts)

b. Accurately describe the resulting path of the electron.