Hmwk2Solns

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E245 Homework 2 : Thevenin Equivalent and RC/RLTransient Circuits Solutions Contents PROBLEM 1: THEVENIN EQUIVALENT CIRCUIT (33 POINTS, 11 PER QUESTION). .............................. 2 BACKGROUND INFORMATION. .......................................................................................................................................... 2 QUESTIONS TO ANSWER . .................................................................................................................................................. 3 PROBLEM 2: RC CIRCUIT TRANSIENT ANALYSIS (66 POINTS, 6 PER QUESTION). .............................. 5 BACKGROUND INFORMATION. .......................................................................................................................................... 5 QUESTIONS TO ANSWER . .................................................................................................................................................. 6 RETURN THIS FRONT PAGE AS PAGE ONE OF YOUR SOLUTIONS

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Problem 1: Thevenin Equivalent Circuit (33 points, 11 per question) Background Information Figure 1a shows a circuit with a voltage source V in , five resistors R 1 through R 5 , and a "load" resistance R Load . The resistor and voltage source values are given in Figure 1b. RLoad (a) R2 R1 R3 R4 R5 V in R Load V Thev (c) R Thev Resistance Values R1 = 7 ohms R2 = 10 ohms R3 = 3 ohms R4 = 4 ohms R5 = 1 ohms (d) A B R2 R1 R3 R4 R5 (b) V in R Load A B Figure 1 The Thevenin equivalent circuit approach applies to any circuit (consisting of DC independent voltage and current sources along with resistors) having two output ports A and B with a simple circuit consisting of only one voltage source (the Thevenin voltage) in series with one resistor (the Thevenin resistance). Figure 1c shows the usual type of problem where Thevenin's equivalent circuit is used. Here, the circuit is shown in the gray area, with two output pins labeled "A" and "B". The "Load Resistor" R Load or some other component will be connected between pins A and B and we are interested in a simple model of the circuit that we can use to calculate the resulting current through and voltage across the load resistor. (Note : We will find later that the Thevenin equivalent circuit approach applies in a far wider range of applications than those having DC sources and only resistors). Figure 1d shows he Thevenin equivalent circuit of the circuit of Figure 1c in the gray-shaded area.
The Thevenin voltage V Thev shown in Figure 1d is the open circuit output voltage between output pins A and B of the circuit in Figure 1c. "Open Circuit" simply means that pins A and B are not connected. The Thevenin resistance R Thev in Figure 1d is the output resistance between pins A and B of the circuit in Figure 1c. IMPORTANT

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## This note was uploaded on 04/02/2008 for the course E 245 taught by Professor Tang during the Spring '08 term at Stevens.

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Hmwk2Solns - RETURN THIS FRONT PAGE AS PAGE ONE OF YOUR...

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