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# ps9 - UNIVERSITY OF CALIFORNIA College of Engineering...

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Unformatted text preview: UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences EE 42 / 100 Problem Set 9 Spring 2008 1. Find find V b , ω b , φ b as a function of V a , ω a , φ a such that the following equality holds for all values of t : V a sin ( ω a t + φ a ) = V b cos ( ω b t + φ b ) 2. Problem 9.1 in Nilsson & Riedel, 8 th edition 3. Problem 9.3 in Nilsson & Riedel, 8 th edition 4. Problem 9.8 in Nilsson & Riedel, 8 th edition 5. Represent the signal 3 V × cos ( 2 π × f × t + 30 o ) as a phasor for f = 5 kHz. What are the real and imaginary parts? What are their units? Repeat for f = 10 kHz. 6. A 1 kHz signal is characterized by a phasor with value ( 1.7 + 0.4 j ) mA. Find the value of the corresponding current i ( t ) at t = 1.3 ms. 7. What are the magnitude (in Ohm) and phase (in degrees) of the impedance of a 1 pF capacitor at 1 kHz and 1 GHz?...
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ps9 - UNIVERSITY OF CALIFORNIA College of Engineering...

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