Remember that the phase of a sinusoid can be calculated after measuring the time location (or in the case of a discrete-time signal, the sample index) of a positive peak, if we know the frequency. (a) Make measurements of the "time-location of a positive peak" and the amplitude from the plots of x₁(t) and x₂(t). Then calculate (by hand) the phases of the two signals, x₁(t) and x2(t), by converting each time-shift tmi to phase. Note: when doing computations, express phase angles in radians, not degrees! (b) Measure the amplitude A3 and time-shift tm3 of x3(t) directly from the plot and then calculate the phase (93) by hand. Show how the amplitude and time-shift were measured, and how the phase was calculated.
Remember that the phase of a sinusoid can be calculated after measuring the time location (or in the case of a discrete-time signal, the sample index) of a positive peak, if we know the frequency. (a) Make measurements of the "time-location of a positive peak" and the amplitude from the plots of x₁(t) and x₂(t). Then calculate (by hand) the phases of the two signals, x₁(t) and x2(t), by converting each time-shift tmi to phase. Note: when doing computations, express phase angles in radians, not degrees! (b) Measure the amplitude A3 and time-shift tm3 of x3(t) directly from the plot and then calculate the phase (93) by hand. Show how the amplitude and time-shift were measured, and how the phase was calculated.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Write MATLAB code
![Theoretical Calculations
Remember that the phase of a sinusoid can be calculated after measuring the time location (or in the case
of a discrete-time signal, the sample index) of a positive peak, if we know the frequency.
(a) Make measurements of the "time-location of a positive peak" and the amplitude from the plots of x₁(t)
and x₂(t). Then calculate (by hand) the phases of the two signals, xi(t) and x2(t), by converting each
time-shift tmi to phase.
Note: when doing computations, express phase angles in radians, not degrees!
(b) Measure the amplitude A3 and time-shift tm3 of x3(t) directly from the plot and then calculate the phase
(93) by hand. Show how the amplitude and time-shift were measured, and how the phase was
calculated.
(c) Now use the phasor addition theorem. Carry out a phasor addition of complex amplitudes for x₁(t) and
x₂(t) to determine the complex amplitude for x3(t). Use the complex amplitude for x3(t) to verify that
your previous calculations of A3 and 03 were correct.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5d3f26-cda5-43e5-8223-bfa02258241c%2F9c6168e8-22e4-49bb-8edf-7fb4f2a6bcc4%2Fq9qfscr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Theoretical Calculations
Remember that the phase of a sinusoid can be calculated after measuring the time location (or in the case
of a discrete-time signal, the sample index) of a positive peak, if we know the frequency.
(a) Make measurements of the "time-location of a positive peak" and the amplitude from the plots of x₁(t)
and x₂(t). Then calculate (by hand) the phases of the two signals, xi(t) and x2(t), by converting each
time-shift tmi to phase.
Note: when doing computations, express phase angles in radians, not degrees!
(b) Measure the amplitude A3 and time-shift tm3 of x3(t) directly from the plot and then calculate the phase
(93) by hand. Show how the amplitude and time-shift were measured, and how the phase was
calculated.
(c) Now use the phasor addition theorem. Carry out a phasor addition of complex amplitudes for x₁(t) and
x₂(t) to determine the complex amplitude for x3(t). Use the complex amplitude for x3(t) to verify that
your previous calculations of A3 and 03 were correct.
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