covered in class only!) a) Find the differential (loop) equation relating output "y(t)" to input "x(t)". b) Find the zero input component of the loop current y (t). ( y.(0)-0,y (0)-2) c) Find the zero-state input component of the loop current y(t). The system impulse response is h(t) = (−2e¹²¹ + 3e™¹³¹)u(t) (I.E, find the system response y(t) to the external input x(t)). X(t) alt)

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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5. A voltage x(t)= e¹u(t) is applied at the input of the RLC
circuit illustrated below.
(L= 1 H, R = 5 №, and C= 1/6 F) (*Use methods that we
covered in class only!)
a) Find the differential (loop) equation relating output
"y(t)" to input "x(t)".
b) Find the zero input component of the loop current y (t). (
y₁ (0¯)= 0, y₁ (0¯)=2)
c) Find the zero-state input component of the loop current
y(t). The system impulse response is
h(t) = (−2e²²¹ + 3e¯³¹)u(t) (I.E, find the system response y(t) to the
external input x(t)).
X(t) (+
At)
Transcribed Image Text:5. A voltage x(t)= e¹u(t) is applied at the input of the RLC circuit illustrated below. (L= 1 H, R = 5 №, and C= 1/6 F) (*Use methods that we covered in class only!) a) Find the differential (loop) equation relating output "y(t)" to input "x(t)". b) Find the zero input component of the loop current y (t). ( y₁ (0¯)= 0, y₁ (0¯)=2) c) Find the zero-state input component of the loop current y(t). The system impulse response is h(t) = (−2e²²¹ + 3e¯³¹)u(t) (I.E, find the system response y(t) to the external input x(t)). X(t) (+ At)
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