ps5 - UNIVERSITY OF CALIFORNIA College of Engineering...

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UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences B. E. BOSER EE 42 / 100 Spring 2008 Problem Set 5 Due Monday, February 25, 2008 1. Draw the Th´evenin equivalent of the stain sensor circuit shown below and derive expressions for all component values in the equivalent circuit. Your result should be a function of V s , R o , and Δ R . 2. Practical component values exhibit variation. For example, the values of a batch of 1 k Ω re- sistors vary randomly by a few percent around 1 k Ω , with some resistors being very close to the ideal value and others having a slightly larger or smaller value. Often the effect of these variations can be reduced if only components with nominally equal value are used. Large component ratios (e.g. 10 M Ω /100 Ω ) are particularly difficult to fabricate accurately. (a) Design an amplifier with gain A = v o v i = 3.5 using only 4.7 k Ω resistors and an ideal operational amplifier. Minimize the component count. Hint: use series and parallel combi- nations to synthesize values other than 4.7 k
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