Ain Shams University Faculty of Engineering ECE Dept. CHEP Electronic Circuits (COMM 361) Spring 2015 Dr. Sameh A. Ibrahim Exercise 5 The Opamp as a Black Box 1. Looking at Equation (1), an adventurous student decides that it is possible to achieve a zero gain error with a finite A0 if R2/(R1 + R2) is slightly adjusted from its nominal value. (a) Suppose a nominal closed-loop gain of Ξ±1 required. How should R2/(R1 + R2) be chosen? (b) With the value obtained in (a), determine the gain error if A0 drops to 0.6 A0. πππ’π‘ πππ = π΄0 π 2 π΄ π 1 +π 2 0 1+ (1) 2. The input/output characteristic of an op amp can be approximated by the piecewise-linear behavior illustrated in Fig. 1, where the gain drops from A0 to 0.8A0 and eventually to zero as |Vin1 β Vin2| increases. Suppose this op amp is used in a noninverting amplifier with a nominal gain of 5. Plot the closed-loop input/output characteristic of the circuit. (Note that the closed-loop gain experiences much less variation; i.e., the closed-loop circuit is much more linear.) 3. Determine the closed-loop gain of the circuit depicted in Fig. 2 if A0 = β. 4. Due to a manufacturing error, a parasitic resistance RP has appeared in the adder of Fig. 3. Calculate Vout in terms of V1 and V2 for A0 = β and A0 < β. (Note that RP can also represent the input impedance of the op amp.) 5. Plot the current flowing through D1 in the precision rectifier of Fig. 4 as a function of time for a sinusoidal input. 6. (Simulation) Assuming an op amp gain of 1000, plot the input/output characteristic of the precision rectifier shown in Fig. 5. Figure 1 Page 1 of 2 Figure 2 Figure 3 Figure 4 Figure 5 Page 2 of 2
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