253-1-sinusoids-and-phasors-1

253-1-sinusoids-and-phasors-1 - AC Circuits: Sinusoids and...

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1 EECE 253: Sinusoids and Phasors Slide 1.1 AC Circuits: Sinusoids and Phasors • Sinusoids (Chap 9.2) • Phasors (Chap 9.3) • Phasor Relationships for R,C,L (Chap 9.4) • Impedance Combinations (Chap 9.7) • Applications (Chap 9.8) EECE 253: Sinusoids and Phasors Slide 1.2 DC vs AC Steady State In EECE 251, you studied both transient and steady-state solutions to DC inputs. The steady-state solution of any circuit signal (whether a current or a voltage) to any DC input is a constant value. If the input is a sinusoid (i.e., AC), then the steady-state solution becomes a sinusoid of the same frequency.
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2 EECE 253: Sinusoids and Phasors Slide 1.3 Why Sinusoids? • All periodic signals are superposition of sinusoids. • Easy to handle mathematically! The derivative and integral of sinusoids are sinusoids. ) sin( ) cos( ) cos( ) sin( x x dx d x x dx d = = EECE 253: Sinusoids and Phasors Slide 1.4 Basic Sinusoid
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253-1-sinusoids-and-phasors-1 - AC Circuits: Sinusoids and...

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