An electron moves through a region of crossed electric and magnetic fields.The electric field E = 2 300 V/m and is directed straight down.The magnetic field B = 0.95 T and is directed to the left.For what velocity v of the electron into the paper will the electric force exactly cancel the magnetic force?

Question

Quizplus · Accepted Answer

When the electric force is equal and opposite to the magnetic force experienced by the electron, we have:
qE = qvB
where q is the charge of the electron, E is the electric field, v is the velocity of the electron, and B is the magnetic field.
Solving for v, we get:
v = E/B
Substituting the given values, we have:
v = 2 300/0.95 = 2 421.05 m/s
Therefore, the velocity at which the electric force exactly cancels the magnetic force is around 2 421.05 m/s, which is closest to option A) 2 400 m/s.

An Electron Moves Through a Region of Crossed Electric and Magnetic