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concepts_ex3

# concepts_ex3 - 2 2 B u(in material L-R time constant R L...

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Equations and Constants Magnetic Flux: A d B B Closed Surface: 0 A d B Magnetic force on a moving charge: B v q F Lorentz force: ) ( B v E q F Magnetic force on a conductor: B l I F Cyclotron radius: B q mv R Force on a moving charge due to a current: 2 0 ˆ 4 r r v q B Biot-Savart law: 2 0 ˆ 4 r r d I dB Ohm’s law for a circuit: V = IR Magnetic field at a distance r from a current-carrying wire: r I B 2 0 Center of a current loop: a I B 2 0 Long solenoid: r NI B 2 0 Force between current-carrying wires: r I I L F 2 2 1 0 Faraday’s law: d E dt d B Ampère-Maxwell law: dt d I d B E c 0 0 Mutual induction: dt di M 1 2 Mutual inductance: 2 1 1 1 2 2 i N i N M B B Inductance of solenoid: I N L B Induced emf in an inductor: dt di L Stored energy in inductor: 2 2 1 LI u Energy density in a magnetic field: 0 2 2 B u (in vacuum)
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Unformatted text preview: 2 2 B u (in material) L-R time constant: R L ‘Charging’ an inductor: t L R e R i 1 L-C oscillation frequency: LC 1 L-R-C oscillation frequency: 2 2 4 1 L R LC AC circuits: C X C 1 X L = ωL 2 2 ) ( C L X X R Z ΔV rms =I rms Z R X X C L 1 tan Transformer: 1 2 1 2 N N v v 2 / max V V rms 2 / max I I rms cos 2 rms rms rms avg V I R I P Electromagnetic waves: c f Electromagnetic wave speed: 1 c Electromagnetic waves: E = c B A m T / 10 4 7 ) m /(N C 10 85 . 8 2 2 12 2 2 9 /C m N 10 99 . 8 4 1 k max max 2 B E u ave c = 3.00 ×10 8 m/s e = 1.60 × 10-19 C m e = 9.11 × 10-31 kg m p = 1.67 × 10-27 kg...
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