20095ee110_1_hw3

20095ee110_1_hw3 - coils, and L = 10mH. For part (d), in...

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EE 110, Fall 2009, Homework #3, Due October 22, 2009 Problem 1: Refer to Figure 1 for this problem. a. With Z L = i.e. an open circuit, (1) compute the power factor of the impedance seen by the voltage source (2) compute the average power, the reactive power, Q, and the complex power, S, deli- vered by the voltage source b. Choose a load Z L that would make the power factor in part (a)–(1) become unity. c. Are there multiple values of Z L that can make the power factor be unity? If so, choose a value that makes the amplitude of v out (t) equal 2.5 Volts. (10 + 10 + 10 = 30 points) Problem 2: Refer to Figure 2 for this problem. a. Obtain the steady state Norton’s equivalent of the circuit shown in the figure at terminals a and b . (20 points) Problem 3: Refer to Figure 3 for this problem. For parts (a) and (b) below, assume that the trans- former has perfect magnetic coupling i.e. k = 1, zero resistance in the primary and secondary

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Unformatted text preview: coils, and L = 10mH. For part (d), in addition, assume that L is infinitely large. a. Compute the steady state value of V a (t). Figure 1. Figure 2. 2 b. Compute the steady state value of V out (t). c. Compute the steady state value of I a . How does it change if L were doubled? d. What is the impedance seen by the source, v(t)? (5 + 5 + 10 + 10 = 30 points) Problem 4: The admittance is defined as the reciprocal of a given complex impedance, Z. Its real part, G, is called the conductance , and the imaginary part, B, is called susceptance . Determine the admittance, Y xy , looking into the terminals x and y in Figure 4. (10 points) Problem 5: Derive a Laplace domain model for the linear transformer. Assume that the primary and the secondary coils have zero initial currents. Hint: Recall how we derived a phasor do-main model for the linear transformer. (10 points) Figure 3. Figure 4....
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This note was uploaded on 10/02/2010 for the course EE EE 110 taught by Professor Gupta during the Fall '09 term at UCLA.

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20095ee110_1_hw3 - coils, and L = 10mH. For part (d), in...

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