1EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu1Announcements Attend only your second lab slot this week and next week. HW #3 online today. Review session next Monday 5-8pm. Location TBD. Midterm #1 next Tuesday 12:00-1:30. Location TBD.EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu2Lecture #7OUTLINE Review and examples 1stand 2ndOrder Circuits Phasors Complex impedence2EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu3Equivalent inductanceL1Leq= ?Zeq= ?L2L3EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu4Equivalent Capacitance and Voltage DivisionC1Ceq= ?Zeq= ?ΔVo= ?C2C3+ΔVi-+ΔVo-3EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu51stOrder Circuit Example 1 Find Vo(t) knowing i(t) = u(t), the unity step function. Plot the Vo(t), i(t), Ecapacitor(t)i(t)1Ω+-1FVo(t)EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu61stOrder Circuit Example 2 Find Vo(t) knowing i(t) = u(t)/10, the unity step function Plot the Vo(t), i(t), Ecapacitor(t)i(t)10Ω+-1FVo(t)4EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu71stOrder Circuit Example 3 Find Vo(t) knowing i(t) = Acos(ωot) + u(t)+V(t)-R+-CVo(t)EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu82ndOrder Circuit Example 1 Find the damping factor and the natural frequency of this circuit. i(t)R+-CLVo(t)5EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu92ndOrder Circuit Example 2 Find Vo(t) knowing i(t) = u(t)i(t)R+-CLVo(t)EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu10Phasor Example 1 Find Vo(t) knowing i(t) = cos(ωt) Plot Vo(jω)/i(jω)i(t)R+-CVo(t)6EE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu11Phasor Example 2 Find the total equivalent impedance Z of the circuit. Find Vo(jω)/i(jω) At what frequency is the impedance purely real?i(t)R+-CLVo(t)ZEE40 Summer 2005: Lecture 7 Instructor: Octavian Florescu12Complex Impedence Example 1+Vi(t)-+-Vo(t)Z1Z2-Find Vo(t)/Vi(t)-Find the usable power transfer ratio Po/Pi-Knowing Z2, choose Z1such that Po/Pi is
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