Natural Response-Introduction to Microelectronic Circuits-Lecture 14 Slides-Electrical Engineering, Slides of Microelectronic Circuits

Download Natural Response-Introduction to Microelectronic Circuits-Lecture 14 Slides-Electrical Engineering and more Slides Microelectronic Circuits in PDF only on Docsity! 1 Lecture 14, Slide 1EECS40, Fall 2003 Prof. King Lecture #14 ANNOUNCEMENTS • Midterm Exam #1: – Monday 9/29, 11:10AM-12noon – Closed book; one page of notes & calculator allowed – Students with last name beginning L through Z should go directly to Sibley Auditorium (Bechtel Engr. Center) – Pizza & drinks afterwards, on the Bechtel Terrace • Your constructive feedback is solicited! OUTLINE – Natural response of an RC circuit Reading Chapter 7.2 Lecture 14, Slide 2EECS40, Fall 2003 Prof. King Review (Conceptual) • Any first-order circuit can be reduced to a Thévenin (or Norton) equivalent connected to either a single equivalent inductor or capacitor. – In steady state, an inductor behaves like a short circuit – In steady state, a capacitor behaves like an open circuit – + VTh C RTh LRThITh 2 Lecture 14, Slide 3EECS40, Fall 2003 Prof. King • Consider the following circuit, for which the switch is closed for t < 0, and then opened at t = 0: Notation: 0– is used to denote the time just prior to switching 0+ is used to denote the time immediately after switching • The voltage on the capacitor at t = 0– is Vo Natural Response of an RC Circuit C Ro RVo t = 0 + − + v – Lecture 14, Slide 4EECS40, Fall 2003 Prof. King Solving for the Voltage (t ≥ 0) • For t > 0, the circuit reduces to • Applying KCL to the RC circuit: • Solution: + v – RCtevtv /)0()( −= C Ro RVo + − i