ELE 504 Final: ELE504 – Fall 2005 Final

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Q1. a [5 marks] a designer wishes to null out the output d. c. voltage (i. e. to make vodc = 0 volt) by inserting an appropriate d. c. input voltage, vx as shown for the op-amp circuit below. The op-amp"s measured specification has ib1 = 110na, ib2 = 200na and v os = 20 millivolts. Assuming the effective potentiometer source resistance is negligible compared to the 100k resistor, determine the required value of the d. c. voltage, V2 = 0. 008cos(2 100)t volts, vo = 4. 0 cos(2 100)t volts with switch open: Determine the values of op-amp input resistance, ri and open-loop gain, a at 100hz. Assume output resistance, ro of the op-amp is negligible. Q1. c [9 marks] design the circuit for an optimal minimal-order butterworth filter using the design specifications (shown below) and sallen & key and/or rc circuit type implementation. Use 0. 1 f capacitors in your circuit, and clearly identify the steps for your design calculations.

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