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Lorentz Force & Magnetic Ampere Force

安培力与洛伦兹力公式

FAmpere​=BILsinθ,FLorentz​=qvBsinθ,r=qBmv​

Theoretical Identity Description:

Magnetic force on a current-carrying conductor (Ampere) and on a moving charged particle (Lorentz). Lorentz force acts as centripetal force resulting in circular orbit radius r = mv/(qB).

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Rigorous Derivation Tree

2 Logical Steps
Step 1check_circleValid Deduction
FAmpere​=BILsinθ,FLorentz​=qvBsinθ,r=qBmv​

Foundational identity statement defined under standard mathematical conditions.

Step 2check_circleValid Deduction
F=BILsinθ,r=qBmv​

Targeted algebraic evaluation and parameter substitution.

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CSCA Exam Triggers & Traps

High-Yield Exam Focus
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Use for mass spectrometers, cyclotron accelerators, and velocity selectors.

errorCommon Examination Pitfalls

Lorentz force never does work (W = 0) because force is always strictly perpendicular to instantaneous velocity.

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