formula_sheet4 - Physics 2760 Exam 4 RLCircuits...

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RL Circuits Physics 2760 Exam 4 Magnetic Flux BdA φ= JG () 1 rise of current R t L it e R ⎛⎞ =− ⎜⎟ ⎝⎠ ε Faraday's Law m S m BA φ = =⋅ JG JG max decay of current LC Circuit R t L I e = Inductance m d dt ε 1 cos( ) LC qQ t ω = = Self Induction m N L I = N max max max sin( ) Energy in LC circuits I iQ t ωω Self Inductance L dI L dt ε 2 2 1 2 1 C q U C = 2 0 L nA l μ = 2 2 max 2 11 L total C L UL i UU U Q i = =+ max 22 total C = =
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AC Circuits RLC Series Circuit cos cos cos 2 in a resistor in a capacitor vV t iI t t ω π = = ⎛⎞ =+ ⎜⎟ ⎝⎠ ( ) 2 cos t V I Z ωϕ =− = cos 2 22 / in an inductor t fT ωπ == ( ) 2 tan Resonance LC Z RX X XX R ϕ = +− = 2 , () 2 (resistor) rms avg Rrms rms I II V I R = 0 1/ LC = , , (inductor) (capacit Lrms rms L Crm s rms V I X V I X = = or) 12 11 2 2 sin sin Reflection Refraction nn θθ
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formula_sheet4 - Physics 2760 Exam 4 RLCircuits...

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