# Electromagnetism: Force on electron in magnetic field

If the magnetic induction is 10^-2 weber/m^2 in the x-direction, find the force on an electron whose velocity is 10^7 m/s in

(a) the xy-plane at 45 degrees to the x-axis, (Answer: 1.13x10^-14 N in the z-direction)

(b) a direction making equal angles with the three axes. (Answer: 1.31 x10^-14 N in the YZ-plane)

https://brainmass.com/physics/velocity/electromagnetism-force-electron-magnetic-field-463373

#### Solution Preview

The force F on a charged particle moving in a magnetic field is given by Lorentz formula

F = q(v x B)

Here q is the charge, v is its velocity and B is the magnetic field.

Please see the attached document for complete solution.

If the magnetic induction is 10^-2 weber/m^2 in the x-direction, find the force on an electron whose velocity is 10^7 m/s in

(a) the ...

#### Solution Summary

Force on an electron moving in a magnetic field is calculated for two different directions of its motion.