AnnouncementsLecture #8Equivalent inductanceEquivalent Capacitance and Voltage DivisionCharge SharingKCL/KVL1st Order Circuit Example 11st Order Circuit Example 2One Last 1st Order2nd Order Circuit Example 12nd Order Circuit Example 2Phasor ExampleComplex Impedence Example 12nd Order CircuitsEE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu1AnnouncementsMidterm Review session this Thursday in Cory 277 from 5pm-8pmMidterm #1 Next Tuesday in Dwinelle 145 from 12pm-1:30pmYou are allowed on 8½ x 11 cheat sheet (front and back) but must be hand writtenYou are not permitted the use of a graphing calculatorPast Midterms posted online1st lab slot is cancelled next week. Only attend your second lab slot. For those of you that have your second lab slot on Tuesday, the prelab is due at the end of the lab.HW #3 onlineEE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu2Lecture #8OUTLINEReview and examples1st and 2nd Order CircuitsPhasorsComplex impedenceMisc. ProblemsEE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu3Equivalent inductanceL1Leq = ?Zeq = ?L2L3EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu4Equivalent Capacitance and Voltage DivisionC1Ceq = ?Zeq = ?ΔVo = ?C2C3+ΔVi-+ΔVo-EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu5Charge SharingC1Vfinal = ?C2+V1-+V2-EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu6KCL/KVLSolve for all the electrical characteristics.EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu71st Order Circuit Example 1Find Vo(t) knowing i(t) = 2+3u(t), the unity step function using a source transformation.Plot the Vo(t), i(t), Ecapacitor(t). How long does it take Vo(t) to reach 4V?i (t)1+-1FVo(t)EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu81st Order Circuit Example 2Find Vo(t) knowing i(t) = 0.2+0.3u(t)Plot the Vo(t), i(t), Ecapacitor(t)How long does it take Vo(t) to reach 4V?i (t)10+-1FVo(t)EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu9One Last 1st OrderFind Vo(t) if V1=u(t)+Vo-EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu102nd Order Circuit Example 1Find the damping factor and the natural frequency of this circuit. i (t)R+-CLVo(t)EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu112nd Order Circuit Example 2i(t) = 1+u(t)+Acos(ωot+Ф)Find Vo(t) knowing L=10uH, C=1nF, R=50Ωi (t)R+-CLVo(t)EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu12Phasor ExampleFind the total equivalent impedance Z of the circuit.At what frequency is the impedance purely real?i (t)R+-CLVo(t)ZEE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu13Complex Impedence Example 1+Vi(t)-+-Vo(t)Z1Z2-Find Vo(jω)/ Vi(jω)-Knowing Z2, choose Z1 such that maximum power is delivered to the load.EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu142nd Order CircuitsFind the Bode Plot for
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