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ECE 201 Final Exam Review

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deutschklasse's version from 2015-12-13 20:45

Section

Question Answer
Neper's FrequencyR/(2L)
Resonant Frequencyw = 1/sqrt(LC)
Condition for OverdampedNeper > Resonant
Condition for Critically DampedNeper = Resonant
Condition for UnderdampedNeper < Resonant
Work of a CapacitorW = 1/2(C)V^2
Basic Cap Equationi = C dV/dt
Work of an InductorW = 1/2(L)i^2
Basic Inductor EquationV = L di/dt
Power EqP=IV
Overdamped EQsf(t) = A1e^(s1t) + A2e^(s2t) ; f(0) = A1 + A2 ; df/dt = A1s1 + A2s2 ; s1 = -a + sqrt(a^2 - w0^2) ; s1 = -a - sqrt(a^2 - w0^2)
Critically Damped EQsf(t) = A1te^(-at) + A2e^(-at) ; f(0) = A2 ; df/dt = A1-aA2
Underdamped EQsf(t) = C1e^(-at)cos(wdt + theta) ; f(0) = C1cos(theta) ; df/dt = -aC1cos(theta) - C1sin(theta) ; wd = sqrt(w0^2 - a ^2)
Time Constant (RC)tau = RC
Time Constant (LR)tau = L/R
Y Resistors= (Sum of Adjacent Resistors)/(Sum of delta Resistors)
Delta Resistors= (Sum of Y resistor Pairs)/(Opposite Y resistor)
Capacitance EqC = (EA)/d
memorize

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