Electrical Circuits and Electronics课件（华南理工）Lecture 21-22.pptVIP

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Electrical Circuits and Electronics课件（华南理工）Lecture 21-22.ppt

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Lecture 21 Complex Impedances Aim Solve sinusoidal steady-state circuit problems with the help of phasor representation; The use of complex arithmetic; Same principles as used in Chapter 2. Inductance A sinusoidal current of an inductance: The voltage across an inductance: The phasors for the current and voltage: Inductance The current lags the voltage by 90° for a pure inductance. Inductance Capacitance Resistance For a resistance, the phasors are related by: The current and voltage are in phase. Lecture 22 Circuit Analysis with Phasors and Complex Impedance Kirchhoff’s Laws in Phasor Form A typical KVL equation: We can apply KVL directly to the phasor: The sum of the phasor voltages equals zero for any closed path. Kirchhoff’s Laws in Phasor Form Kirchhoff’s current law (KCL) can be applied to currents in phasor form: The sum of the phasor currents entering a node equals the sum of the phasor currents leaving. Circuit Analysis Using Phasors and Impedances Replace the time description of the voltage and current source with the corresponding phasor; Replace inductance and capacitance by their complex impedance: Analyze the circuit by using any of the techniques on resistive circuits, and perform the calculation with complex arithmetic. Example 5.4 Steady-State AC Analysis of a Series Circuit Example 5.5 Series and Parallel Combinations of Complex Impedances Summary Electrical Circuits and Electronics School of Electric Power Electrical Circuits and Electronics School of Electric Power Electrical Circuit and Electronics School of Electric Power Electrical Circuit and Electronics School of Electric Power Electrical Circuit and Electronics School of Electric Power Electrical Circuit and Electronics School of Electric Power Electrical Circuit and Electronics School of Electric Power Electrical Circuit and Electronics School of Electric Power Electrical Circuit and Electronics School of Electric Power Electrical Circuit and Electronics School of Electric Power E