ECE 201 Lecture 30 Borja Peleato Impedance admittance combinations Applications to SSS analysis 1 Impedances and admittances Circuit Element Impedance Admittance Impedances combine as resistances admittances as conductances More jargon Impedance Resistance j Reactance Z w R w j X w Admittance Conductance j Susceptance Y w G w j B w 3 Circuit analysis in Sinusoidal Steady State FOR EACH W 1 Convert current and voltages into phasors 2 3 Convert R L C elements into impedances Analyze the circuit as a resistive circuit with constant but complex currents voltages and resistances you only need Ohm s law KCL and KVL 4 Once you have your answer transfer it back to time domain 5 Add TIME components for all w 4 Thevenin Norton equivalents Just like we did in resistive circuits we can replace any RLC circuit by a complex source and a complex impedance The method is the same Zth ZN find the equivalent impedance between the desired terminals when all independent sources are deactivated use a PHASOR test source Vth find the voltage PHASOR that appears across the desired terminals when left open circuit IN find the current PHASOR that appears through the desired terminals when short circuited 5 Example 1 If Vout 40 sin 200t what is i2 t I1 t 1 2 cos 200t 11 7 14 Vout ECE 201 33 W 0 1 H 0 4 mF I2 7 8 9 10 11 12 13
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