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Transcript
Analysis Methods for Transient Circuits Dr. Holbert March 17, 2008 Lect14 EEE 202 1 Impedance, Z Using Ohm’s Law, impedance (Z) can be defined via: V=IZ Lect14 Circuit Element Resistor Capacitor Inductor EEE 202 Impedance (ohms) R 1 / (sC) sL 2 LC Behavior • Recall some facts on the behavior of LC elements • Inductors (L): – The current in an inductor cannot change abruptly in zero time; an inductor makes itself felt in a circuit only when there is a changing current – An inductor looks like a short circuit to d.c. • Capacitors (C): – The voltage across a capacitor cannot change discontinuously; a capacitor makes itself felt only when there exists a changing potential (voltage) difference – A capacitor looks like an open circuit to d.c. Lect14 EEE 202 3 Step-by-Step Approach 1. Assume solution (only dc sources allowed): x(t) = K1 + K2 e-t/ 2. At t=0–, draw the circuit with C as open circuit or L as short circuit; find VC(0–) or IL(0–) 3. At t=0+, redraw circuit and replace C or L with appropriate source of value obtained in step #2, and find x(0)=K1+K2 4. At t=, repeat step #2 to find x()=K1 Lect14 EEE 202 4 Step-by-Step Approach (cont’d) 5. Find time constant () Looking across the terminals of the C or L element, form Thevenin equivalent circuit; =RThC or =L/RTh 6. Finish up Simply put the answer together This is essentially the inspection method except it is expressed in a systematic procedure Lect14 EEE 202 5 Class Examples • Drill Problems P6-6, P6-7, P6-8, P6-13, P6-14 – We’ll use the inspection (step-by-step) approach for P6-7 and P6-8 Lect14 EEE 202 6
