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Download Sample Quiz 3 Problem, Resistor - Circuits and Electronics | ECE 3710 and more Quizzes Electrical and Electronics Engineering in PDF only on Docsity!
ECE 3710 Sample Quiz #3 Problems 1) Consider the AC circuit below where v,(i) = Z0c0s(1000%) V. 108 ‘6mH + vw @& "6a. a) Find va(?). b) What is the maximum power that the 100 resistor can consume? 2) For the following circuit, the source voltage is v,(t) = Scos( 0001) and it was found that the equivalent impedance of the toad is 252-45" ohms. iy +, wl) Load a) What is the current i,(9? b)_ What is the complex power § produced by the source? ©) What is the time-average power consumed by the load? d) What is the reactive power consumed by the load? 3) For the following filter: ny, L Ri & vot Le oul) a) Find its transfer function T(«o). 6) What kind of filter is if? You must explain your answer. ©) Suppose L=20mH, Re= f0KQ, and R,=2KQ, wit is the maximum gain (in decibel), 17(0s)|(AB), and the cut-off frequency, fin Hertz? @) Let Rr= 10KQ, Ri = 2KQ, and L=20mH (same as (c)), what is the output voltage Vous) when the input voltage Vi,() = Scos(150001)? If the inductor is replaced by a capacitor, what kind of filter would the circuit be? Explain your answer. ¢) 4) Find the expression for the output voltage and sketch its waveform, Vat) 4a 32 5 4 . sL0¥ 7 ee Vo) ANSWERS: 1) a) volt) = 2.73cos(1000t— 60") V b) 8.01W 2) a) it) = (1/5) cos( 1000: + 45°) Ab) § =0.3536—j 0.3536 ¢) Pyg= 0.3536 W d) Q=-0,3536 VAR 3) a) To) =-Re/RNG OLAREV(14 @L/R)] b) High-pass c} Max gain= 13.98 dB f= T9STKHZ A) vou(t) = 0.75¢0s(15000t+268.3°) ©) Low-pass filter. 4) Volt) = % Va(0) when Vs(t) <0 = (2/3)Vs(t) when Vs(t) > 0 
