Download Electric Circuits Exam 3 - Spring 2008: Problems and Solutions - Prof. Don L. Millard and more Exams Microelectronic Circuits in PDF only on Docsity! ECSE 2010 Name ______________________ Electric Circuits Exam 3 Spring 2008 Section (please circle one) 10-11 11-12 UPlease Note: • All your answers must be placed in the spaces provided. • You UMUST U show your work to receive any credit. • Assume ALL sources are turned ON at t=0, unless noted otherwise. • The Laplace transform of 10u(t) = 10/s. Problem No. Pts. Score 1 20pts 2 30pts 3 10pts 4 25pts 5 15pts Total 100pts UProblem 1U (20pts) a.) The switch is open for a long time before closing at t = 1ms in the circuit shown below. Find Vout(s) for t ≥ 1ms and sketch Vout(t) for t ≥ 0. (10pts) 1uF 1k TCLOSE = 0 1 2 10v 1k Vout(s) + Vout - Vout(t) time UProblem 2U (cont) b.) Sketch the asymptotic Bode plot |H(jω)|dB and ΦH(jω) for the circuit shown in part (a). Please label your axes and critical values. (10pts) c.) For an input Vin(t) = 1cos(500kt), what is the output voltage Vout(t)? (5pts) d.) For an input Vin(t) = 1cos(1kt), what is the output voltage Vout(t)? (5pts) Vout (t) Vout (t) |H(jω)|db ΦH(jω) UProblem 3U (10pts) a.) Sketch the magnitude (as a function of frequency) that would appear at the two markers. Please identify any critical frequencies. (6pts) Marker 1 Marker 2 b.) What is Vout(t) for Vin(t) = 1cos(ω0t), where ω0 is the resonant frequency? Please justify your response. (4pts) V 100mH 1 2 Vin 100 1000uF V + - OUT .1uF 100mH 1 2 1k + Vout - UProblem 4U (25pts) a) Given the plots shown below, find ωco. (Please note: the graph is in dB) Frequency 100mHz 1.0Hz 10Hz 100Hz 1.0KHz 10KHz 100KHz 1.0MHz P(V(R1:2)) -180d 0d SEL>> 20*LOG10(V(R1:2)) -200 -100 0 100 ωcutoff = log ω (rps) │H(jω)│db ∠ H(jω)degreees Problem 5 (15pts) Name ______________________ a.) Find Vout(s) H(s) = Vin(s) for the circuit shown. (5pts) 2k 2K 10uF 100 Vin 100mH 12 U2 OPAMP + - OUT 1k H(s) + Vout - Problem 5 (cont.) Name ______________________ b.) What Vout(t) would be produced if Vin(t) = 10cos(100rpst + 45o)? Justify your response. (5pts) c.) What kind of filter could this circuit represent? Please explain your response in the space provided below. (5pts) Vout(t) Filter Type Extra space (if needed) Name ______________________
