lecture15

# lecture15 - Lecture#15(with Prof Sanders ANNOUNCEMENTS Prof...

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Lecture 15, Slide 1 EECS40, Fall 2003 Prof. King Lecture #15 ANNOUNCEMENTS • Prof. King’s office hour today is cancelled • Farhana’s office hours this week are cancelled • HW#5 will be available on Friday 10/3 (due 10/10) • Pick up graded midterms in discussion sections OUTLINE – Transient response of 1 st -order circuits – Application: modeling of digital logic gate Reading Chapter 7.3-7.5 (with Prof. Sanders) Lecture 15, Slide 2 EECS40, Fall 2003 Prof. King Transient Response of 1 st -Order Circuits • In Lectures 13 and 14, we saw that the currents and voltages in RL and RC circuits decay exponentially with time, with a characteristic time constant τ , when an applied current or voltage is suddenly removed. • In general, when an applied current or voltage suddenly changes, the voltages and currents in an RL or RC circuit will change exponentially with time, from their initial values to their final values, with the characteristic time constant τ : where x ( t ) is the circuit variable (voltage or current) x f is the final value of the circuit variable t 0 is the time at which the change occurs [] τ / ) ( 0 0 ) ( ) ( + + + = t t f f e x t x x t x

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Lecture 15, Slide 3 EECS40, Fall 2003 Prof. King Procedure for Finding Transient Response 1. Identify the variable of interest For RL circuits, it is usually the inductor current i L ( t ) For RC circuits, it is usually the capacitor voltage v c ( t ) 2. Determine the initial value (at t = t 0 + ) of the variable Recall that i L ( t ) and v c ( t ) are continuous variables: i L ( t 0 + ) = i L ( t 0 ) and v c ( t 0 + ) = v c ( t 0 )
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lecture15 - Lecture#15(with Prof Sanders ANNOUNCEMENTS Prof...

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