Gyromotion

Magnetic Force Bends Moving Charge

The Lorentz-force magnitude is checked before the path is drawn. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Magnetic force uses charge, speed, and field

Charge 2 coulombs, speed 3 meters per second, and field 4 tesla give force 24 newtons.

qvB=2⋅3⋅4=24 NqvB=2\cdot 3\cdot 4=24\ \text{N}
Magnetic force bends motionThe force arrow is checked inward across the velocity.chargeradiusvFq=2 Cv=3 m/sB=4 Tm=8 kgr=3 mqvB=24 Nmv2/r=24 NturnRate=1 1/s

The force changes direction, not speed

The checked force is perpendicular to the velocity arrow, so this model bends the path into gyromotion.

F⊥=24 NF_{\perp}=24\ \text{N}
Inward magnetic forceThe velocity and force roles are validated separately.chargeradiusvFq=2 Cv=3 m/sB=4 Tm=8 kgr=3 mqvB=24 Nmv2/r=24 NturnRate=1 1/s