When an electron enters an area where the magnetic field, B, is uniform and perpendicular to the electron’s velocity, v (note that voltage will be represented by the capital letter V from now on). The electron feels a force, F, whose magnitude is determined by the following equation (don’t confuse v with V!).
F = evB
The right-hand rule can be used to determine the force’s direction because it is perpendicular to both v and B. The electron will experience uniform circular motion, or a circular orbit with radius r, as a result of the force. The following equation results from multiplying this force by the mass times the centripetal acceleration:
evB = mv²/r
The following equation is obtained by solving Eq. 2 for e/m. v/Br = e/m.
When an electron enters an area where the magnetic field, B, is uniform and perpendicular to the electron’s velocity, v (note that voltage will be represented by the capital letter V from now on). The electron feels a force, F, whose magnitude is determined by the following equation (don’t confuse v with V!).
F = evB
The right-hand rule can be used to determine the force’s direction because it is perpendicular to both v and B. The electron will experience uniform circular motion, or a circular orbit with radius r, as a result of the force. The following equation results from multiplying this force by the mass times the centripetal acceleration:
evB = mv²/r
The following equation is obtained by solving Eq. 2 for e/m. v/Br = e/m.