# Lorentz Force Simplification

1. Oct 18, 2012

### RobertL

Hey everyone, I'm trying to make sure I did this question right. Any ideas would be greatly appreciated. Thanks!

1. The problem statement, all variables and given/known data

The general force that bends the electron in the e/m experiment is known as the Lorentz force, F = q(E + v x B), where force F, electric field E, velocity v, and magnetic field B are vectors, and x stands for the vector product. Given that there is no electric field, and the velocity vector is at an 45° angle with respect to the magnetic field, the formula for the Lorentz force experienced by a particle carrying electric charge q is which of the following:

qvB/2
qvB
qvB/sqrt(2)
qv/B

2. Relevant equations

F = q(E + v x B)

3. The attempt at a solution

I thought, as it was at a 45 degree angle, the qvB/sqrt(2) would be accurate as a right triangle with a 45 degree angle creates a hypotenuse of sqrt(2)

2. Oct 18, 2012

Hey RobertL!