311ps1

# 311ps1 - PROBLEM SET 1 ECE 311 Autumn Quarter 2011...

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PROBLEM SET 1 ECE 311 Autumn Quarter 2011 Assigned: Wednesday, Sep. 21st Due: Friday, Sep. 30th in class Instructor: Joel T. Johnson Problem 1 We have learned in class that a “wire” will begin to act as a transmission line when its length exceeds an appreciable fraction of the electromagnetic wavelength. If appreciable is taken as meaning 10%, find the highest frequency for which the following devices can be treated as wires. (a) a CMOS circuit trace of length 80 nm (b) a 30 cm long wire used in the ECE circuits lab (c) a power line with length 300 km (d) a 0.5 m long USB cable Problem 2 Given a = 2 +3j and b = 5 – j, find (a) the polar form for a. (b) the rectangular form for a+ b. (c) the rectangular form of a/b. (d) the polar form of ab. (e) write V in phasor form. ( =+ v(t) sin t 45 ϖ o ) (f) write V in phasor form. () v(t ) cos t sin( t ) ϖϖ =− 2 Problem 3 A transmission line operated at a frequency of 2GHz has .j γ π 02 2 j + 65 1 (per meter). It is also

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## This note was uploaded on 11/11/2011 for the course ECE 311 taught by Professor Johnson,j during the Fall '08 term at Ohio State.

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311ps1 - PROBLEM SET 1 ECE 311 Autumn Quarter 2011...

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