Homework1 - V RMS If V RMS is 120 Volts what is V Peak 5...

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EE 200 Fall 2008 (Weber) Homework 1 At the upper right corner on page 1 of all homeworks, show: Last name, First name Date EE 200, Homework # Show intermediate steps whenever possible. 1. Write the algebraic expression(s) that define the function plotted below. y 1 1 2 -1 -2 -1 x 2. Using the following functions (see section 2.1.1 for definition of signum ()) f 1 ( x ) = 0 . 5 signum ( x ) f 2 ( x ) = 2 sin ( πx ) Plot the following composition functions over [-2, 2] ( f 1 f 2 )( x ) ( f 2 f 1 )( x ) 3. Problem 5 in chapter 2 of the text. 4. Read the “Probing Further” section on pages 7-8 of the text about household electrical power. Assume the voltage is given by t Reals, v ( t ) = V Peak sin (2 π 60 t ) Use the formula on page 7 for finding the RMS (root mean square) voltage to derive the relationship between V Peak and
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Unformatted text preview: V RMS . If V RMS is 120 Volts, what is V Peak ? 5. Some high power electrical equipment runs on three-phase power. The power plug has three voltages present: ∀ t ∈ Reals, v A ( t ) = V Peak sin (2 π 60 t ) v B ( t ) = V Peak sin (2 π 60 t + 2 π/ 3) v C ( t ) = V Peak sin (2 π 60 t − 2 π/ 3) Each of the three phases are 120 ◦ out of phase from the others. If we measure the voltage between any two phases we are ±nding the RMS voltage of v A ( t ) − v B ( t ), or v B ( t ) − v C ( t ), etc. Find the relationship between this RMS voltage and V Peak . Using the value of V Peak from the previous problem, what value of V RMS should we see with our measurement? 1...
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