EK#307: Electric#Circuits Fall$2017 Lecture$21 Nov$28,$2017 Milos$Popovic Department$of$Electrical$and$Computer$Engineering Boston$University Administrivia • HW9$due$Thursday • Emailed$grade$summary$to$everyone • Any$questions$or$errors$to$report$– please$email$me. • 5$lectures$left:$$we$will$cover$Chapters$9,$10$and$14 Last#Lecture#(20):##Chapter#8#– 2nd order#ccts 1. Finished*Solving*2nd order*ccts – Sec*8.578.8 2. Started*Chapter*9*– Phasors*&*Sinusoidal*Steady* State Summary Overdamped Critically$damped Underdamped Step#response#of#RLC#circuits Step#Response Step#Response General#2nd#order#circuits Sinusoids#and#Phasors Chapter$9 Sinusoids#and#Phasors • aka$AC Sinusoids#and#Phasors • aka$AC Sinusoids#and#Phasors Sinusoids#and#Phasors Phasors Phasors Add*in*component*form. Multiply*in*polar*form. Phasors#and#sinusoids Leading#and Lagging#Phase Phase Time#and#frequency#domains v(t) V Instantaneous/time$domain phasor/frequency$ domain Time$dependent Time$independent Always$real$valued Complex$number$ in$general Differentiation#and#integration#in# time,#in#the#phasor#domain Phasor#Circuit#Laws Resistor Inductor Capacitor Concept#of#impedance Impedance#and#admittance conductance resistance reactance susceptance