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ww ell v,(t) = Vm sin(wt) 本

ww ell v,(t) = Vm sin(wt) 本

Introductory Circuit Analysis (13th Edition)
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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v,(t) = Vm sin(wt) Figure 1. A single-phase full-wave rectifier with an RL-source load.
Transcribed Image Text:v,(t) = Vm sin(wt) Figure 1. A single-phase full-wave rectifier with an RL-source load.
Figure 1 shows a single-phase full-wave rectifier with an RL-source load. (a) Provide an expression of the output voltage v, as a Fourier series consisting of a de term and the even harmonics whose frequencies are multiples of 2w (two times the supply frequency) for the continuous current mode; that is, the output current i, > 0 at all times for steady-state operation. (b) Derive an expression of i, for the continuous current mode (Hint: Use superposition). (c) Calculate the power absorbed by the de voltage source and the power absorbed by the load resistor for the ac source amplitude Vm = v2 · 120 V, the ac source angular frequency w = 2n60 rad/s, R = 2 0, L = 10 mH, and Vae= 80 V for the continuous current operation and considering the de term and the first two harmonics (the second and fourth harmonics) in the Fourier series.
Transcribed Image Text:Figure 1 shows a single-phase full-wave rectifier with an RL-source load. (a) Provide an expression of the output voltage v, as a Fourier series consisting of a de term and the even harmonics whose frequencies are multiples of 2w (two times the supply frequency) for the continuous current mode; that is, the output current i, > 0 at all times for steady-state operation. (b) Derive an expression of i, for the continuous current mode (Hint: Use superposition). (c) Calculate the power absorbed by the de voltage source and the power absorbed by the load resistor for the ac source amplitude Vm = v2 · 120 V, the ac source angular frequency w = 2n60 rad/s, R = 2 0, L = 10 mH, and Vae= 80 V for the continuous current operation and considering the de term and the first two harmonics (the second and fourth harmonics) in the Fourier series.
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