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ECE3710_Quiz1_Spring2010_answers

ECE3710_Quiz1_Spring2010_answers - Quiz 1 Answers...

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1 Quiz 1 Answers TERMINOLOGY, RELATIONS & EQUATIONS (20 points) Problem 1 (10 points): Given the following definition of the quality factor, derive simplified equations for the following cases when a sinusoidal input is applied across each. period one in dissipated Energy stored energy Peak 2 π = Q (a) An inductor, L, with a parasitic series resistance, R L ; find the quality factor in terms of frequency, inductance and resistance. Show all work. L L p p R fL f R I LI Q π π 2 1 2 1 2 1 2 2 2 = = (b) A capacitor, C, with a parasitic parallel resistance, R C ; find the quality factor in terms of frequency, capacitance and resistance. Show all work. C L p p fCR f R V CV Q π π 2 1 2 1 2 1 2 2 2 = = Problem 2 (10 points): Electrical Engineering often focuses on the voltage-current relationships for devices connected in loops. Assume a new device has been discovered that acts like a negative resistance , and answer the following questions.
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