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A quiz for ece 3040 students, focusing on circuit analysis. It includes instructions, two problems, and solutions for gain calculation and bode plot sketching. Students are required to find the gain of the circuit at low and high frequencies, draw the expected bode magnitude plot, and use the inverting op-amp gain formula to solve for the transfer function.
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ECE 3040 Quiz 10 — July 27, 2005
Professor Leach Name
Instructions. Print your name in the space above. The quiz is closed-book and closed-notes. The quiz consists of two problems. Draw a box around all answers. Honor Code Statement: I have neither given nor received help on this quiz. Initials
vo =
μ 1 +
vi 1 −
vi 2
(b) What is the gain of the circuit at very high frequencies? Vo Vi
R 2 kR 3 R 1
(c) Sketch the expected Bode magnitude plot using log-log scales: (i) First sketch the straight-line asymptotes and label the slopes in decades per decade. (ii) Label the gains on any straight-line asymptotes that have a zero slope. (iii) Label any pole and zero frequencies, respectively, with the labels ωpn and ωzm, where n and m are index integers. It is a low-pass shelving transfer function with ωp < ωz. (d) Finally, use the inverting op-amp gain formula to solve for the transfer function for Vo/Vi: (i) Express the transfer function as a gain constant K multiplied by terms of the form 1 + s/ωz and/or divided by terms of the form 1 + s/ωp. (ii) Give the expressions for K, the ωz , and the ωp. Vo Vi
R 2 k (R 3 + 1/Cs) R 1
1 + s/ωz 1 + s/ωp
K = −
ωp =
ωz =