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Test 2 Cheat Sheet

# Test 2 Cheat Sheet - Capacitors Q = CV C = 0(A/d(C is in F...

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Capacitors Q = CV C = ε 0 (A/d) (C is in F) ε 0 = 8.85 x 10 -12 C 2 /Nm 2 E = V/d W = qΔV Parallel Capacitors: C eq = C 1 +C 2 + C 3 V 0 = V 1 = V 2 =V 3 I 0 = I 1 + I 2 + I 3 1/R eq = 1/R 1 + 1/R 2 for any two R’s: R eq =R 1 R 2 / R 1 + R 2 Series Capacitors: 1/C eq = 1/C 1 + 1/C 2 I 0 = I 1 = I 2 =I 3 V 0 = V 1 + V 2 + V 3 R eq = R 1 + R 2 + R 3 U = ½ Q 2 /C = ½ CV 2 = ½ QV P = U/t U = ½ε 0 E 2 Ad (parallel plates) u = energy density = ½ε 0 E 2 E = σ/ε 0 Q = σA Dielectrics C = KC 0 k=dialectric constant C o = C without dialectric C = with dialectric C = Kε 0 A/d (parallel plate) u = ½Kε 0 E 2 Q = KQ 0 V = V 0 /K E = E 0 /K Electric Current I = ΔQ/Δt (I is in A) V = IR (R is in Ω) Resistivity R = ρ(l/A) ρ = resistivity (Ωm) conductivity (σ) = 1/ρ (Ωm -1 ) ρ T = ρ 0 [1+α(T – T 0 )] α = temperature coefficient of resistivity Power (P) = IV = I 2 R = V 2 /R (W) 1kWh = 3.60x10 6 J Alternating Current I = I 0 sin(wt) I rms = (.707)I 0 V rms = (.707)V 0 EMF EMF = V 0 V ab = V 0 – Ir RC Circuits V 0 = IR + Q/C
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