ECE 301 Fall Semester, 2004 HW Set 4 Due: October 5, 2004 wlg Revision 1 Name__________________ Print (last, first) Use engineering paper. Work only on one side of the paper. Use this sheet as your cover sheet, placed on top of your work and stapled in the top left-hand corner. Number the problems at the top of the page, in the center of the sheet. Do neat work. Underline your answers. Show how you got your equations. Be sure to show how you got your answers. Each problem counts 10 points. (1) Determine vo(t) for the circuit shown below. Answer: vo(t) = 7.07cos(10t – 60o) V. 0.5 H 10 + + v0 (t) 0.05 F 10cos(10t + 75 o ) V _ _ (2) Use mesh analysis to find I1 and I2 in the circuit shown below. j4 3 2 3 I1 j1 I2 -j6 + _ 3020 V Answers: I1 = 4.67-20.2 A, I2 = 1.7937.4 A j2 (3) Use nodal analysis to find V1 and V2 in the following circuit. Answers: V1 = 22.9132.3 V, V2 = 27.9140.6 V 10 V1 V2 - j5 j2 A j10 20 (1 + j) A (4) Find the Thevenin equivalent circuit looking into terminals a-b. Draw the circuit. Answers: VTH = 55.971.6o V, ZTH = 11.1826.6o a 8 545o V j10 -j6 b (5) Determine Vx in the following circuit using any method of your choice. Answer: Vx = 29.462.9 V -j2 + 4030 V _ 8 j6 + Vx _ 3 10 50o A