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Berkeley ELENG 40 - Lecture Notes

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1EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu1Announcements Midterm Review session this Thursday in Cory 277 from 5pm-8pm Midterm #1 Next Tuesday in Dwinelle 145 from 12pm-1:30pmYou are allowed on 8½ x 11 cheat sheet (front and back) but must be hand writtenYou are not permitted the use of a graphing calculatorPast Midterms posted online 1stlab 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 #8OUTLINEReview and examples 1stand 2ndOrder Circuits Phasors Complex impedence Misc. Problems2EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu3Equivalent inductanceL1Leq= ?Zeq= ?L2L3EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu4Equivalent Capacitance and Voltage DivisionC1Ceq= ?Zeq= ?∆Vo= ?C2C3+∆Vi-+∆Vo-3EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu5Charge SharingC1Vfinal= ?C2+V1-+V2-EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu6KCL/KVLSolve for all the electrical characteristics.4EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu71stOrder Circuit Example 1 Find 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)1Ω+-1FVo(t)EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu81stOrder Circuit Example 2 Find 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)10Ω+-1FVo(t)5EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu9One Last 1stOrderFind Vo(t) if V1=u(t)+Vo-EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu102ndOrder Circuit Example 1Find the damping factor and the natural frequency of this circuit. i (t)R+-CLVo(t)6EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu112ndOrder Circuit Example 2i(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 Example Find the total equivalent impedance Z of the circuit. At what frequency is the impedance purely real?i (t)R+-CLVo(t)Z7EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu13Complex Impedence Example 1+Vi(t)-+-Vo(t)Z1Z2-Find Vo(jω)/ Vi(jω)-Knowing Z2, choose Z1such that maximum power is delivered to the load.EE40 Summer 2006: Lecture 8 Instructor: Octavian Florescu142ndOrder CircuitsFind the Bode Plot for


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Berkeley ELENG 40 - Lecture Notes

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