4. Consider the following circuit, C x(t) НЕ ____mom ww R₁ b. The transfer function of the system is H(s) = - a. Determine the differential equation relating the current (t) with the input x(t). Describe and justify every step. R₂ 0.5 s (s² + 4s + 4) If R₂ = 162, use the transfer function and the differential equation in Q4.a) to determine the parameters of the circuit R₁, L and C. c. Use the Laplace transform to determine current i(t), considering voltage source x(t) = 10 Cos(3t), the initial current ((0) = 0, and; at t=0 is 2. Describe the response of the system and sketch the function i(t).
4. Consider the following circuit, C x(t) НЕ ____mom ww R₁ b. The transfer function of the system is H(s) = - a. Determine the differential equation relating the current (t) with the input x(t). Describe and justify every step. R₂ 0.5 s (s² + 4s + 4) If R₂ = 162, use the transfer function and the differential equation in Q4.a) to determine the parameters of the circuit R₁, L and C. c. Use the Laplace transform to determine current i(t), considering voltage source x(t) = 10 Cos(3t), the initial current ((0) = 0, and; at t=0 is 2. Describe the response of the system and sketch the function i(t).
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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Transcribed Image Text:4. Consider the following circuit,
C
x(t)
НЕ
____mom
ww
R₁
b. The transfer function of the system is
H(s) = -
a. Determine the differential equation relating the current (t) with the input x(t).
Describe and justify every step.
R₂
0.5 s
(s² + 4s + 4)
If R₂ = 162, use the transfer function and the differential equation in Q4.a) to
determine the parameters of the circuit R₁, L and C.
c. Use the Laplace transform to determine current i(t), considering voltage source
x(t) = 10 Cos(3t), the initial current ((0) = 0, and; at t=0 is 2. Describe the
response of the system and sketch the function i(t).
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