Transcription of Chapter 21: RLC Circuits
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Chapter 21: RLC Circuits
PHY2054: Chapter 211 Chapter 21: RLC CircuitsPHY2054: Chapter 212 Voltage and Current in RLC Circuits AC emf source: driving frequency f If circuit contains only R + emf source, current is simple If L and/or C present, current is notin phase with emf Z, shown later()sinmmmiItIZ = =sinmt =2f =()()sincurrent amplitudemmmiI tIRR ===PHY2054: Chapter 213AC Source and Resistor Only Driving voltage is Relation of current and voltage Current is in phasewith voltage ( = 0)i R~sinmmmiIt IR ==sinmt =/iR =PHY2054: Chapter 214AC Source and Capacitor Only Voltage is Differentiate to find current Rewrite using phase (check this!) Relation of current and voltage Capacitive reactance : Current leads voltage by 90 sinmqCt =i C~/cosCidqdt CVt ==sinCmqvtC ==()sin90 CiCVt =+ ()sin90mmmCiItIX =+ =1/CXC =()1/CXC =PHY2054: Chapter 215AC Source and Inductor Only Voltage is Integrate di/dt to find current: Rewrite using phase (check this!)
PHY2054: Chapter 21 2 Voltage and Current in RLC Circuits ÎAC emf source: “driving frequency” f ÎIf circuit contains only R + emf source, current is simple ÎIf L and/or C present, current is notin phase with emf ÎZ, φshown later sin()m iI t I mm Z ε =−=ωφ ε=εω m sin t ω=2πf sin current amplitude() m iI tI mm R R ε ε == =ω
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