Please Show your work.
1. A stream of electrons passes through a velocity filter where the crossed magnetic and electric fields are 0.020 T and 5.00 × 104 V/m, respectively. Find the kinetic energy (in electron volts) of the electrons passing through the filter. [1 eV = 1.60 × 10-19 J]
2. The planetary model of the hydrogen atom consists of an electron in a circular orbit about a proton. The motion of the electron of charge 1.60 × 10-19 C creates an electric current. The radius of the electron orbit is 5.30 × 10-11 m and the electron's velocity is 2.20 × 106 m/s. What is the magnetic field strength at the location of the proton?