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Unit4FormulaSheetColor

# Unit4FormulaSheetColor - Unit 4 Formulas Magnetism...

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Unit 4 Formulas – Magnetism & Induction Magnetic Field Units Tesla ( T ) 10,000 Gauss ( G ) = 1 T 1 T = 1 N / (A · m) Magnetic Susceptibility 6 0 1.26 10 / H m μ = × 1 Henry / meter = 1 N / A 2 Lorenz Force ( ) q = + F E v×B on moving charged particle I l = F ×B K on wire carrying current Cyclotron Radius mv r qB = Period 2 m T qB π = Magnetic moment (dipole) N I = μ A Ampere · square meter N = number turns or loops Dipole Torque due to external Field τ = μ ×B Energy in an external field U = μ B Biot-Savart Law 0 2 ˆ d 4 I r μ π = l×r B Note the cross-product Ampere’s Law 0 enclosed dl I μ = B v Note the “line integral” Gauss’s Law for B d 0 = B A v Around closed surface
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