In: Physics
A charge moving with a velocity v in the presence of both an electric field E and a magnetic field B experiences both an electric force qE and a magnetic force qv x B. The total force (called the Lorentz force) acting on the charge is
Velocity selector
In many experiments involving moving charged particles, it is
important that the particles all move with essentially the same
velocity. This can be achieved by applying a combination of an
electric field and a magnetic field oriented as shown in Figure
29.22. A uniform electric field is directed vertically downward (in
the plane of the page in Fig. 29.22a), and a uniform magnetic field
is applied in the direction perpendicular to the electric field
(into the page in Fig. 29.22a). For q positive, the magnetic force
is qv x B upward and the electric force qE is downward. When the
magnitudes of the two fields are chosen so that qE = qvB, the
particle moves in a straight horizontal line through the region of
the fields. From the expression qE = qvB, we find that