# ps03 - ECEN 2250 Circuits/Electronics 1 Fall 2007 P Mathys...

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ECEN 2250 Circuits/Electronics 1 Fall 2007 9-12-07 P. Mathys Problem Set 3 (Solutions are due Wed. 9-19-07) 1) The following circuit is a resistive π network. It is a 2-port device with 4 terminals (as opposed to a 2-terminal device like a single resistor). R A R B R C - v 1 + - v 2 + i 1 →← i 2 π network The two terminals on the left (with voltage v 1 and current i 1 ) make up port 1 and the two terminals on the right (with voltage v 2 and current i 2 ) make up port 2. The most common use of this device is with a current source connected to one port and a load resistor connected to the other port as shown in the next schematic. ± R A R B R C - v 1 + - v 2 + i 1 i 2 i 1 R L i L π network In this case the π network attenuates the input current i 1 (or the input voltage v 1 ) so that the load current i L is smaller than i 1 (or the output voltage v 2 is smaller than v 1 ). A simple practical use of this is to make an audio signal (e.g., from a power ampliﬁer) less loud or less powerful (e.g., to feed it into the microphone input of a recording device). A single i - v characteristic is not enough to characterize a 2-port. Instead, one of the two

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ps03 - ECEN 2250 Circuits/Electronics 1 Fall 2007 P Mathys...

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