An electron moving with a velocity = 5.0 × 10⁷ m/s
Enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is
=
) What magnetic field will allow the electron to go through the region without being deflected?

Question

An electron moving with a velocity

= 5.0 × 10⁷ m/s

Enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is

=

) What magnetic field will allow the electron to go through the region without being deflected?

Quizplus · Accepted Answer

The force on an electron in a magnetic field is given by F = qvB, where q is the charge, v is the velocity, and B is the magnetic field. In order for the electron to go through the region without being deflected, the magnetic force must be balanced by the electric force. The force on an electron in an electric field is given by F = qE. Setting these two forces equal to each other and solving for B, we get B = E/v. Plugging in the values given, we get B = (2.0 × 10^-4 T)/(5.0 × 10^6 m/s) = 4.0 × 10^-11 T, which is closest to choice C.

An Electron Moving with a Velocity = 5