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Electrical Engineering Homework Problems, Assignments of Electrical Circuit Analysis

A set of electrical engineering homework problems, including calculations of resistances of copper and nickel wires, analysis of circuits with given resistances and input currents, and determination of currents and powers in more complex circuits with multiple resistors and input currents. It also includes a brief description of american wire gauge system.

Typology: Assignments

2011/2012

Uploaded on 04/27/2012

koofers-user-c8u
koofers-user-c8u 🇺🇸

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Download Electrical Engineering Homework Problems and more Assignments Electrical Circuit Analysis in PDF only on Docsity! Homework 3 Due: Monday, August 29 1 (a) Assuming that the relative resistivity of nickel with respect to copper is 5.1, and the absolute resistivity of copper at room temperature is 1.7 × 108Ω · cm, find the resistance of a nickel ribbon with the following dimensions: length of 40 m, width of 1.5 cm, and thickness of 0.1 cm. (b) Compute the resistance of 600 feet of 14-gauge1 copper wire (2.575 Ω/100 ft) (c) Repeat (b) for 400 feet of 14-gauge nickel wire. (d) If one end of the copper wire from (b) is soldered to one end of the nickel wire from (c), find the total resistance of the 1000 feet of wire. 2 For the circuit of Figure 1 assume that R = 1 Ω, and the input current to the circuit is is(t) = 200 sin (10πt) mA for t > 0 and zero for t < 0. Compute the instantaneous power delivered by the source. Using a graphing program, plot the power delivered as a function of time for 0 < t < 1 sec. 2 R 3 R 5 Ris(t) Friday, August 26, 2011 Figure 1: Model circuit 1American wire gauge, also known as the Brown & Sharpe wire gauge, is a standardized wire gauge system used since 1857 predominantly in the United States and Canada for the di- ameters of round, solid, nonferrous, electrically conducting wire. You can read more on this at http://en.wikipedia.org/wiki/American wire gauge 1 3 The power delivered to the source in the circuit of Figure 2 is 120 watts. (a) If Is = 2 A, determine the value of R. (b) Suppose now that R = 1 Ω. Find Is. Figure 2: Model circuit 4 For the circuit in Figure 3, determine the current Iout and the power PR2 absorbed by the resistror R2, in terms of the current Iin and the resistances R1 and R2 and the parameter µ. Friday, August 26, 2011 Figure 3: Model circuit 2
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