Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Fourier Series
Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental freq…
Question

Find the sum of two sinusoidal voltages, given as follows: v1 (t)=V1 cos⁡(ωt+ϕ1) and v2 (t)=V2 cos⁡(ωt+ϕ2). You are told that V1 = 15, V2 = 13, ω = 1,000, ϕ1 = 41° and ϕ2 = 67°.

Hint: we recommend using the phasor transform to add these signals in the frequency domain.

Once you have added the signals, please enter the angle (in degrees) below. Enter the answer to 3 significant figures.

Expert Solution
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Step 1

Given: v1t=V1cosωt+ϕ1 and v2t=V2cosωt+ϕ2

Required: The sum of two sinusoidal voltages.

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