(a) An electrical network that consists of a resistor, inductor, and capacitor is shown in Fig. 4. x(t) is the input voltage, and y(t) is the output voltage, which is also the inductor voltage. Based on the figure, i) ii) iii) (†) x(t) x(t) 0 1F + y(t) Fig. 4 Determine the mathematical model relating the input voltage, x(t) and the output voltage, y(t). Determine the zero-input response of the system assuming initial conditions of y(0) = 7 and y(0) = -6. Determine the impulse response of the system. state response of the system if it is subjected to an
(a) An electrical network that consists of a resistor, inductor, and capacitor is shown in Fig. 4. x(t) is the input voltage, and y(t) is the output voltage, which is also the inductor voltage. Based on the figure, i) ii) iii) (†) x(t) x(t) 0 1F + y(t) Fig. 4 Determine the mathematical model relating the input voltage, x(t) and the output voltage, y(t). Determine the zero-input response of the system assuming initial conditions of y(0) = 7 and y(0) = -6. Determine the impulse response of the system. state response of the system if it is subjected to an
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Transcribed Image Text:(a) An electrical network that consists of a resistor, inductor, and capacitor is shown
in Fig. 4. x(t) is the input voltage, and y(t) is the output voltage, which is also
the inductor voltage. Based on the figure,
i)
ii)
iii)
iv)
v)
(1) x(t)
नल
w
1F
+
y(t)
Fig. 4
Determine the mathematical model relating the input voltage, x(t) and
the output voltage, y(t).
Determine the zero-input response of the system assuming initial
conditions of y(0) = 7 and y(0) = -6.
Determine the impulse response of the system.
Determine the zero-state response of the system if it is subjected to an
external input of x(t) = u(t).
Determine the total response of the system.
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