2) Voltage Phasors I Suppose you have a circuit that adds together two time-varying voltage inputs to get a time-varying voltage output; V, (t) + V½(t) = Vout (t). The input voltages have the same driving frequency, fa = 60 Hz, but they have different amplitudes and phase angles. V, (t) = V, cos(wa t + $1) V2(t) = V2 cos(wa t + $2) V, (t) has an amplitude of V, = 5.0 V and a phase of 1 = 0.927 rad at t = 0, and V2 (t) has an amplitude of V2 = 7.0 V and a phase of 2 = 3.421 rad at t = 0. Vout (t) can be written in the following form. %3D Vout (t) = Vout Cos(wout t+ Pout) Find an expression for Vout (t) by finding the amplitude Vout, the angular frequency wout, and the phase angle pout- 3) Voltage Phasors II Consider again the situation from the previous problem. Sketch V, (t), V2(t), and Vout (t) from t = 0 to t = 0.04 s. Sketch all three on the same axes, and remember to label your axes. 4) Voltage Phasors II Consider one last time the same situation as above. Illustrate phasor addition by drawing V,(t), V2(t), and Vout (t) at t = 0.008 s. Draw the vectors to scale. An appropriate scale might be 1 or 2 cm equals 1 V.

2) Voltage Phasors I Suppose you have a circuit that adds together two time-varying voltage inputs to get a time-varying voltage output; V, (t) + V½(t) = Vout (t). The input voltages have the same driving frequency, fa = 60 Hz, but they have different amplitudes and phase angles. V, (t) = V, cos(wa t + $1) V2(t) = V2 cos(wa t + $2) V, (t) has an amplitude of V, = 5.0 V and a phase of 1 = 0.927 rad at t = 0, and V2 (t) has an amplitude of V2 = 7.0 V and a phase of 2 = 3.421 rad at t = 0. Vout (t) can be written in the following form. %3D Vout (t) = Vout Cos(wout t+ Pout) Find an expression for Vout (t) by finding the amplitude Vout, the angular frequency wout, and the phase angle pout- 3) Voltage Phasors II Consider again the situation from the previous problem. Sketch V, (t), V2(t), and Vout (t) from t = 0 to t = 0.04 s. Sketch all three on the same axes, and remember to label your axes. 4) Voltage Phasors II Consider one last time the same situation as above. Illustrate phasor addition by drawing V,(t), V2(t), and Vout (t) at t = 0.008 s. Draw the vectors to scale. An appropriate scale might be 1 or 2 cm equals 1 V.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...

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