• identify ac circuits.
• represent ac circuits in the frequency domain using impedances and phasors
• analyze ac circuits in the frequency domain
  1. write (algebraic) equations using Kirchhoff's laws and the element equations
  2. solve those equations using complex arithmetic
• replace series or parallel impedances by equivalent impedances
• perform voltage and current division in the frequency domain

• AC Circuit are characterized by two facts:
  • All of the sources are sinusoidal at the same frequency.
  • The circuit is at steady state.
• All of the element currents and voltages of an ac circuit are sinusoidal at the frequency of the sources.
• Impedances (Section 10.6) and phasors (Section 10.5) simplify the analysis of ac circuits.
• Impedances in the frequency domain are analogous to resistance in the time domain:
  

• Table 10.6-1 summarizes the element equations in the time and frequency domains.
• Section 10.8 shows how to determine the equivalent impedance of series or parallel impedances.
• Table 10.8-1 summarizes voltage and current division in the frequency domain.

Lecture Notes:

• Arithmetic with complex numbers.
• Sinusoids and complex numbers in ac circuits.
• Phasors and impedances in ac circuits.
• KCL and KVL in the time and frequency domains.
• Voltage and current division for ac and dc circuits.

Demonstrations: Phasors, Complex arithmetic and adding sinusoids.

Handouts:

• Arithmetic with complex numbers.
• Time and frequency domains.
• Voltage division for dc and ac circuits.
• Voltage and current division for dc and ac circuits.
• Frequency domain

On-line Exercises: Complex Arithmetic Simple AC Circuits More AC circuits.