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sci.magnetic-force-Lorentz Calculator
Calculates the Lorentz force on a moving charge: F = q(E + v×B), and the radius of circular motion for a charged particle in a magnetic field. Cyclotron radius r = mv/(qB) — a 1 MeV proton in 1 T magnetic field has r = 0.144 m, the basis of cyclotron and MRI beam steering.
Inputs
Q C
Reference formula or conversion factor shown for context.
V M S
Speed in a specified direction (m/s). Required for momentum, kinetic energy, and wave calculations.
B T
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
Angle Deg
Reference formula or conversion factor shown for context.
Results
magnetic force F (N)
Sample size or count used in the calculation.
F = qvB·sinθ
Sample size or count used in the calculation.
cyclotron radius (proton) (m)
The computed radius -- half the diameter.
cyclotron radius (electron) (m)
The computed radius -- half the diameter.
particle type
The classification or type assigned based on the inputs.
r = mv/(qB)
Reference formula or conversion factor shown for context.