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# EQS - AC Circuits Z = R 2 X 2 ∠tan P = ½VIcos(∆φ R =...

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Unformatted text preview: AC Circuits ! Z = R 2 + X 2 ∠tan P = ½VIcos (∆φ) ! R = R!0° ! X = ! 1 #90° -1 (X/R) "C ! X = ! L"90° ωc = 1/ LC ! !! V = IZ Atrig (ω t + φ) ⇔ A∠φ Circuits I=dQ/dt R=ρd/A V=IR P = VI RR R' = 1 2 R1 + R2 C=εA/d V=Q/C U=½CV² V=V₀ e-t/τ V=V₀ ( 1–e-t/τ ) τ= R C V’/V = N’/N I’N’=IN Gauss’s Law ρ = Q/V σ = Q/A λ = Q/l E = Qin/Aε0 Electrostatics E = kQ/r2 ! ! F = qE E=-V/l V=kQ/r Optics c = c₀ /n n’sin θ’ = n sin θ θc = sin ⁻¹(n ’/n ) θb = tan ⁻¹(n ‘/n ) f = r/2 1/f = (n₀ – n )/r +(n₀ – n’)/r’ l ’ = l f /( l – f ) l ₂ = d – l ₁’ m = - l ’ /l m = m ₁m ₂ y’ =m y l’ = - n' n l Interference 2lsin θ = Nλ sin θ ≈ w/d θ = 1.22λ/l λ’n’ = λn 4l = Nλ EM Waves c = fλ E = Bc I = EB/2µ₀ I = P /A P = (1+e)P/Ac I’ = Icos ²(θ) Nuclear Physics ∆m = matom – Zmp – Nmn U = ∆mc N = N₀ e -λt t1/2 = ln (2) / λ r = 1.2 A1/3 Atomic Physics E = -13.6/n E = hf λ = 91.1 n n' / (n – n') λc = hc/E Magnetism and Induction V = -N∆Φ/∆t ! !! F = qv ! B ! !! F =lI ! B !! ! ! = NAI " B V = lBvsin θ Φ = ABsin θ V = -NABωcos (ω t) L = µ₀AN²/l U=½LI² B=µ₀I/2πr B=µ₀I/2R B=µ₀NI/l Relativity v' = ( v – v ) / ( 1 – vv/c ) t' = t / 1–v²/c² l' = l 1–v²/c² m' = m / 1–v²/c² E' = E / 1–v²/c² f ' = f 1–v²/c² / 1+v²/c² Quantum Mechanics ∆p∆x ≥ h/4π ∆E∆t ≥ h/4π p = h/λ ∆λ = λc (1 – cos θ) ...
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EQS - AC Circuits Z = R 2 X 2 ∠tan P = ½VIcos(∆φ R =...

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