# q11 - /V i s 2 V o 3 sV o 4 V o = 8 V i = ⇒ V o V i = 4 s...

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ECE 3050 Analog Electronics Quiz 11 April 1, 2009 Professor Leach Name Instructions. Print your name in the space above. Honor Code: I have neither given nor received help on this quiz. Initials 1 of 2. The fi gure shows a three op amp instrumentation ampli fi er. It is given that v I 1 = 1 . 5 V , v I 2 = 2 V , R 1 = 1 k , R 2 = 2 k , R 3 = 3 k , R 4 = 4 k , R 5 = 5 k , R 6 = 6 k , and R 7 = 7 k . Solve for the node voltages v A through v F and the output voltage v O . v I1 1.5 v I2 2 R 1 1000 R 2 2000 R 3 3000 R 4 4000 R 5 5000 R 6 6000 R 7 7000 v A 1 R 3 R 1 v I1 . v I2 R 3 R 1 . v A 12 = v B v I1 v B 1.5 = v C v I1 R 2 R 1 . 1 R 2 R 1 v I2 . v C 9 = v E v A R 7 R 5 R 7 . v E 7 = v F v E v F 7 = v O v E 1 R 6 R 4 . v C R 6 R 4 . v O 31 = 2 of 2. (a) A circuit has the di ff erential equation ¨ v O + 3 ˙ v O + 4 v O = 8 v I , where each dot indicates a time derivative. Solve for the transfer function for
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Unformatted text preview: /V i . s 2 V o + 3 sV o + 4 V o = 8 V i = ⇒ V o V i = 4 s 2 + 3 s + 4 = 1 ( s/ 2) 2 + (3 / 2) ( s/ 2) + 1 (b) Sketch and label the Bode magnitude and phase plots for the transfer function T ( s ) = K (1 + s/ω ) (1 + s/rω ) where r is a number such that rω À ω . Magnitude: Starts at K at zero frequency, breaks to − 1 dec/dec at ω = ω , and breaks to − 2 dec/dec at ω = rω . Phase: Starts at ◦ , approaches − 90 ◦ between ω and rω , and approaches − 180 ◦ well above rω . 1...
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