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Unformatted text preview: Problem Set 1 Prof. Luke Theogarajan Due Jan 14th, 2011 Problem 1 Consider the circuit shown in figure 1, compute V out as a function of V in in terms of R 1 ,R 2 ,R 3 and R 4 . Figure 1: Problem 1 Problem 2 Figure 2 shows an opamp that is ideal except for having a finite openloop gain and is used to realize an inverting amplifier whose gain has a nominal magnitude G = R 2 R 1 . To compensate for the gain reduction due to the finite A, a resistor R c is shunted across R 1 . Show that perfect compensation is acheived when R c is selected according to R c R 1 = A G 1+ G . Figure 2: Problem 2 1 Problem 3 Consider the circuit in figure 3 , Figure 3: Problem 3 1. Find the resistances looking into node 1, R 1 ;node 2,R 2 ;node 3,R 3 ; and node 4,R 4 . 2. Find the currents I 1 ,I 2 ,I 3 and I 4 in rerms of the input current I. 3. Find the node voltages at nodes 1,2,3 and 4, that is, V 1 ,V 2 ,V 3 and V 4 in terms of IR....
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 Spring '08
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