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We may design a dc power supply by cascading a full-wave rectifier and an RC circuit. The full wave rectifier output x(t) = |cos(100t)| is the input to the RC circuit whose frequency response is H(jw) = 1+ j@RC' a) Find the Fourier transform for the input signal x(t). b) Find the Fourier transform for the output signal y(t). c) Find the range for the RC such that magnitude of the first harmonic of the ripple in y(t) is less than 1% of the average value.

We may design a dc power supply by cascading a full-wave rectifier and an RC circuit. The full wave rectifier output x(t) = |cos(100t)| is the input to the RC circuit whose frequency response is H(jw) = 1+ j@RC' a) Find the Fourier transform for the input signal x(t). b) Find the Fourier transform for the output signal y(t). c) Find the range for the RC such that magnitude of the first harmonic of the ripple in y(t) is less than 1% of the average value.

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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We may design a dc power supply by cascading a full-wave rectifier and an RC circuit. The full wave rectifier output x(t) = |cos(100t)| is the input to the RC circuit whose frequency response is H(jw) = 1+j@RC" 1 a) Find the Fourier transform for the input signal x(t). b) Find the Fourier transform for the output signal y(t). c) Find the range for the RC such that magnitude of the first harmonic of the ripple in y(t) is less than 1% of the average value.
Transcribed Image Text:We may design a dc power supply by cascading a full-wave rectifier and an RC circuit. The full wave rectifier output x(t) = |cos(100t)| is the input to the RC circuit whose frequency response is H(jw) = 1+j@RC" 1 a) Find the Fourier transform for the input signal x(t). b) Find the Fourier transform for the output signal y(t). c) Find the range for the RC such that magnitude of the first harmonic of the ripple in y(t) is less than 1% of the average value.
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