The force that needs motion
A magnetic field does nothing to a charge that is sitting still. Set that charge moving and the field pushes on it — sideways, at right angles to both the motion and the field. The size of that push is , read aloud F equals q v B sine theta.
Every letter, in words. is the magnetic force in newtons. is the charge in coulombs — quoted in microcoulombs on the bench, so convert. is the charge's speed in metres per second. is the magnetic flux density — the field strength — in tesla, and one tesla is a very strong field: a fridge magnet manages a few thousandths of one, an MRI bore runs to three. And — theta — is the angle between the velocity and the field, in degrees. You will solve this for , for , and for .
Two things worth carrying out of this lesson. First, is in the numerator with nothing to soften it, so gives , full stop. A stationary charge in the strongest magnet ever built feels precisely nothing. Second, the sine runs the other way from the incline's: here , so a charge crossing the field SQUARE-ON feels the maximum force, and a charge running ALONG the field lines at feels none at all. Anchor it with those two limits and you will never have to remember which trig function it is.