Robertazzi-Final-271-summer10

Robertazzi-Final-271-summer10 - Your name Final ESE 271...

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Unformatted text preview: Your name: Final ESE 271 Summer 2010 Robertazzi Answer all questions. Each question worth 10 points. Total is 50 pts. 1. (a) Simplify into Cartesian (rectangular) form. Show all steps for full credit. /—»J 0L 7L5 (b) Compute the capacitance value for a capacitor with phasor impedance of ~2j and angular frequency w of 4 radians/sec. Show all steps for full credit. Your name: 2. (a) Find the average power for a 10 ohm resistor, Pav Show all steps. (b) Find the peak power, Ppeak If R=1O ohms. Show all steps. Your name: 3. (a) Write down two nodal equations. (b) Simplify equations step by step (collecting 311 and \_/2 terms together). [0] Write an expression for £2 in terms of determinants but do not solve. VI éjL V2. 6C0; (Htqugo - ll (01(92‘) Your name: 4. (3) Using the voltage divider and phasor concepts, write Vom in terms of via Simplify. Show all steps. (b) If Vm=10cost(4t+20°), solve for Vom in cosine format. Show all steps. 8M. Your name: 5. (a) Solve for l2(s) as a ratio of polynomials in 3 (this is a Laplace, NOT a phasor problem). Hint: It is easy to get a single equation in l2(s) and solve for it. U 362 (L me; ix 8 7 u 4 cm, (b) Write a partial fraction expansion with correct denominators but do not solve for the numerator coefficients. [0] What type of functions is the solution made of? 1 H) JVMMgD/ (9—0/0 34,4 5 59/49 Cox 9+ +£3.97 3 3 5 La) 132 1521350) by lam +170 3 70m; [15 +0111 #1) : 6J7?! 1” :79 m ’ M3“ a) ,7 6d a" 3.3 +4; ”01 J J/JJ JvfgLffll/ “hwy-(m “arc/j “a? : 'JJ‘JEST, #:er 2% 6 7““ ’ ‘ 4 ‘f , r ~9/4f7/ ‘ 5 54 / 4&1?) MW "“9 (J J 3' 3 +EJ girth; ...
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