An electrical network that consists of three resistors and one inductor is shown in Fig. 1. (t) is the inp voltage and y (t) is the output voltage, which is also the inductor voltage. Below the figure, x(t) 152 www 492 592 2H3 y(t) 1 i. Determine the mathematical model relating the input voltage, (t) and the output voltage, y(t). ii. Find the characteristic equation and characteristic roots from the mathematical model. iii. Determine the zero-input response of the system assuming initial conditions of y(0) = 7 and i(0) = -6.

An electrical network that consists of three resistors and one inductor is shown in Fig. 1. (t) is the inp voltage and y (t) is the output voltage, which is also the inductor voltage. Below the figure, x(t) 152 www 492 592 2H3 y(t) 1 i. Determine the mathematical model relating the input voltage, (t) and the output voltage, y(t). ii. Find the characteristic equation and characteristic roots from the mathematical model. iii. Determine the zero-input response of the system assuming initial conditions of y(0) = 7 and i(0) = -6.

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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