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# hw1_09 - Department of Electrical and Computer Engineering...

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Department of Electrical and Computer Engineering The Johns Hopkins University 520.137 Introduction to Electrical and Computer Engineering – Fall 2009 Homework Assignment I Reading Assignment: Lecture Notes; Kerns-Irwin Chapter 2, Section 2-1 to Section 2-6. 1. Consider the voltage-divider circuit shown below with v S ( t )=8cos(60 πt ) V , R 1 =3Ω ,and R 2 =1Ω. + _ ) ( t i 1 v 1 R + _ 2 v 2 R + _ S v (a) Find the most compact expression of v 2 ( t ) as a function of time. (b) Sketch v 2 ( t ). Label your plots carefully. (c) For v 2 ( t ), compute: the peak voltage, the RMS voltage, the period in seconds, and the frequency in Hz. (d) Compute: the peak current and the RMS current that ﬂows through R 2 . (e) Compute the power dissipated in R 2 and sketch it to scale versus time. (f) Find the resistance R 1 that would cause v 2 ( t )tobe1 / 5o f v S ( t )atanyt ime t . (g) If we take a wire and connect the two terminals of v 2 , what would be the current running through that wire? (h) Find the voltage v 2 ( t ) after we take out the short-circuit wire between the 2 terminals above and insert a 1Ω resistor between the two terminals instead.

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2. Consider the simple circuit with the AC voltage source with a peak value of
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hw1_09 - Department of Electrical and Computer Engineering...

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