Problem
Problem
ion travels at right angles to a magnetic field of 0.80 T with a velocity of m/s. Find the magnitude of the magnetic force on the ion.Intuitive explanation
When a charged particle moves perpendicular to a magnetic field, it experiences a force that depends on three things: how much charge it carries, how fast it's moving, and how strong the field is. The key insight is that the magnetic force formula simplifies beautifully when the motion is perpendicular to the field (), so . Just plug in the charge of the helium ion (which has lost both electrons), the given velocity and field strength, and you're done.
Intuitive explanation
When a charged particle moves perpendicular to a magnetic field, it experiences a force that depends on three things: how much charge it carries, how fast it's moving, and how strong the field is. The key insight is that the magnetic force formula simplifies beautifully when the motion is perpendicular to the field (), so . Just plug in the charge of the helium ion (which has lost both electrons), the given velocity and field strength, and you're done.