Exam 2 Review - Exam(2 Topics Superposition Inductors Capacitors First order circuits OP AMPs Sinusoidal waveforms Phasor concept Element Impedance Use

# Exam 2 Review - Exam(2 Topics Superposition Inductors...

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10/29/13 1 Exam (2) Topics: Superposition Inductors & Capacitors First order circuits OP. AMPs Sinusoidal waveforms Phasor concept Element Impedance + 30 V 10 Ω 5 V 5 A 10 Ω + v o Use superposi0on principle to fond v o = ?
10/29/13 2 + 30 V 10 Ω 5 V 5 A 10 Ω + v o 30 V 10 Ω 10 Ω + v o 1 v o 1 = 30 10 20 = 15 V + 30 V 10 Ω 5 V 5 A 10 Ω + v o + 10 Ω 10 Ω + v o 2 5 V v o 2 = 5 10 20 = 2.5 V
10/29/13 3 + 30 V 10 Ω 5 V 5 A 10 Ω + v o 10 Ω 5 A 10 Ω + v o 3 2.5 A v o 3 = 2.5 ( ) 10 ( ) = 25 V i L ( t ) = ?
10/29/13 4 t = 0 Steady state condition i L 0 ( ) = 12 6 i L 0 ( ) = 2 A v L 0 ( ) = 0 + 12 V 6 Ω i L i L 0 + ( ) = i L 0 ( ) i L 0 + ( ) = 2 A v L 0 + ( ) = 16 V t = Steady state condition i L ( ) = 2 A v L ( ) = 0 τ = L R τ = 0.2 4 τ = 0.05 s i L ( t ) = i L ( ) + i L 0 + ( ) i L ( ) e t τ i L ( t ) = 2 + 2 + 2 [ ] e 20 t i L ( t ) = 2 + 4 [ ] e 20 t 2 A 2 A 0.25 s i L i R 2 A
10/29/13 5 V p = V n i p = 0 i n = 0 From connection V p = 4 V V p = 4 V KCL node (n) V n 5 1 + V n V o R + i n = 0