exam 3 notecard - Mutual Inductance units = Henry ε 2 = M...

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Unformatted text preview: Mutual Inductance: units = Henry ε 2 = - M di 1 dt ; ε 1 = - M di 2 dt M = Ν 2 Φ Β ι 1 = Ν 1 Φ Β ι 2 Self Inductance: V ab = - Λ δι δτ ; L = Ν Φ Β ι Magnetic-field Energy: U = ΛΙ 2 2 u = Β 2 2 μ R-L Circuits: v ab = ιΡ ; v bc = Λ δι δτ ; τ = L R Loop rule!! i = ε Ρ (1 - ε- Ρτ / Λ 29- for charging I = ε Ρ ; di dt = ε Λ ε- Ρτ / Λ ; i = Ι ε- Ρτ / Λ discharge L-C Circuits: ϖ = 1 LC ; U B = Λι 2 2 U E = θ 2 2 Χ ; q = Θ χοσ( ϖτ + φ 29 ; Q = Χε L-R-C Circuits: ϖ ' = 1 LC- R 2 4 L 2 AC: I rav = 2 Ι π ; I rms = Ι 2 ; V rms = ς 2 i = Ι χοσ( ϖτ 29 ; v = ς χοσ( ϖτ + φ 29 Resisto r V R =IR R in phase Inducto r V L =IX L X L = ϖ L Leads I by 90 Capacit or V C =IX C X c =1/ ϖ C Lags i by 90 Impedance: V = ΙΖ ; tan φ = 1 Ρ ( Ξ Λ- Ξ χ 29 Z = Ρ 2 + ( Ξ Λ + Ξ Χ 29 2 Power: P avg = 1 2 ς Ι χοσ φ = ς ρμ σ Ι ρμ σ χοσ φ Power factor = cos ϕ = R/Z Resonance: ϖ = 1 LC Transformers: V 2 V 1 = Ν 2...
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