# ps1 - 2.14/2.140 Problem Set 1 Assigned Thurs Feb 8 2007...

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Unformatted text preview: 2.14/2.140 Problem Set 1 Assigned: Thurs. Feb. 8, 2007 Due: Thurs. Feb. 15, 2007, in class Reading: Nise 2.1–2.4; Notes from course web page: Laplace transforms; Circuits; Op-amps The following problems are assigned to both 2.14 and 2.140 students. Problem 1 For the circuits shown below, calculate the equivalent resistance seen at the indicated terminals, using the series and parallel resistance formulae. Problem 2 The circuit shown below is driven by a current source I t at the terminals B-B’. The resulting voltage across these terminals is defined as V t . a) What is the equivalent resistance R eq seen at the terminals B-B’? Viewed another way, what is the ratio V t ( t ) /I t ( t ) = R eq ? The easiest way to solve this problem is to use series and parallel equivalents. b) Now we modify the circuit by removing the resistor R at terminals A-A’, and replacing this with the capacitor C shown in the figure below. 1 What is the equivalent impedance Z eq seen at the terminals B-B’? Viewed another way, what is the ratio V t ( s ) /I t ( s ) = Z eq ( s )? Note that here we’ve switched to the Laplace domain and work in the more general concept of impedances, since...
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ps1 - 2.14/2.140 Problem Set 1 Assigned Thurs Feb 8 2007...

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