ECE 3043 Lecture Exam 1 1. For the circuit shown, (a) Find the Thevenin equivalent circuit with respect to C1 in terms of the symbolic component values. Draw the overall equivalent circuit including the capacitor. (b) Fi
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ECE 3043 Lecture Exam 1 1. For the circuit shown, (a) Find the Thevenin equivalent circuit with respect to C1 in terms of the symbolic component values. Draw the overall equivalent circuit including the capacitor. (b) Find an expression for the current that flows through R2 from right to left at time t. (c) Let V1 = 5u(t), R1 = 3 kΩ, R2 = 1 kΩ, R3 = 3 kΩ, R4 = 1 kΩ, and C1 = 0.1 µF. Solve for the numerical value of the current that flows through R2 from right to left at time t = 200 µs. 2. Determine the complex gain transfer function T¯(s) = V out/V1. for the circuit shown below and write it in the space provided. Specify it as a function of the complex frequency, s, and the symbols for the resistors and capacitors. Write it in standard form (a gain multiplied by a ratio of polynomials in s having constant terms of 1) Determine the symbolic expressions and the numerical values of the pole and zero frequencies as well as the high and low-frequency gains. On the attached graph, plot the asymptotic magnitude of the complex transfer function T¯(jω) in decibels as a function of the frequency f of the source as f varies from 1 Hz to 1 MHz. When making the plot, use the numerical values given for the resistors and capacitors. T¯(s) = T¯(0) = T¯(∞) = fp = 3 = 4 1 10 10 2 4 103 10 105 f (Hz) 6 10 5 (a) An ammeter is used to measure the current through resistor R4 The ammeter reads 1.3314 mA. What is the input resistance of the meter? Is this an ideal meter? Explain. (b) Design a circuit containing 1 ideal op-amp, 1 10 kΩ potentiometers, and any additional resistors that has a gain that varies from −1 to −0.5 as the potentiometer is turned across its complete range. Draw a schematic of your design.
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