6. Consider the RLC circuit given in the figure below. x(t) is the input voltage, the voltage y(t) across the capacitor is assumed the system output. C=0.5 F R=4 Ohm I(t) x(t) L =2 H y (t) a. Determine the differential equation relating x(t) and y(t). b. State the frequency response for this system. c. Suppose that the input to this system is the following periodic signal : x(t) 1.0 Determine the Fourier series representation (coefficients) for this signal. d. Determine the output signal y(t) for the input signal x(t) in part (c) .
6. Consider the RLC circuit given in the figure below. x(t) is the input voltage, the voltage y(t) across the capacitor is assumed the system output. C=0.5 F R=4 Ohm I(t) x(t) L =2 H y (t) a. Determine the differential equation relating x(t) and y(t). b. State the frequency response for this system. c. Suppose that the input to this system is the following periodic signal : x(t) 1.0 Determine the Fourier series representation (coefficients) for this signal. d. Determine the output signal y(t) for the input signal x(t) in part (c) .
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:6. Consider the RLC circuit given in the figure below. x(t) is the input voltage, the voltage
y(t) across the capacitor is assumed the system output.
C=0.5 F R=4 Ohm
I(t)
x(t)
L -2 H
y (t)
a. Determine the differential equation relating x(t) and y(t).
b. State the frequency response for this system.,
c. Suppose that the input to this system is the following periodic signal :
Ax(t)
1.0
Determine the Fourier series representation (coefficients) for this signal.
d. Determine the output signal y(t) for the input signal x(t) in part (c) .
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