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Consider the following second-order circuit in Figure Q6. (a) Derive the circuit differential equation with the output voltage vo as the variable with assumption of zero initial values of both vo(t) and dv(t)/dt; (b) Given that R₁ = 1 kn, determine the values of capacitors C1, C2 and resistor R₂ to ensure that the ratio of the Laplace transform of output voltage vo to the Laplace transform of input vin satisfies the following relationship: Vo(s) Vin(s) = 106 s² + 100s + 106 where Vin(s) and Vo(s) are the Laplace transforms of the input voltage vin and the output voltage vo, respectively. C2 Vin + R1 R2 + vo(t) 5 C₁

Consider the following second-order circuit in Figure Q6. (a) Derive the circuit differential equation with the output voltage vo as the variable with assumption of zero initial values of both vo(t) and dv(t)/dt; (b) Given that R₁ = 1 kn, determine the values of capacitors C1, C2 and resistor R₂ to ensure that the ratio of the Laplace transform of output voltage vo to the Laplace transform of input vin satisfies the following relationship: Vo(s) Vin(s) = 106 s² + 100s + 106 where Vin(s) and Vo(s) are the Laplace transforms of the input voltage vin and the output voltage vo, respectively. C2 Vin + R1 R2 + vo(t) 5 C₁

Introductory Circuit Analysis (13th Edition)
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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Consider the following second-order circuit in Figure Q6. (a) Derive the circuit differential equation with the output voltage vo as the variable with assumption of zero initial values of both vo(t) and dv(t)/dt; (b) Given that R₁ = 1 kn, determine the values of capacitors C1, C2 and resistor R₂ to ensure that the ratio of the Laplace transform of output voltage vo to the Laplace transform of input vin satisfies the following relationship: Vo(s) Vin(s) = 106 s² + 100s + 106 where Vin(s) and Vo(s) are the Laplace transforms of the input voltage vin and the output voltage vo, respectively. C2 Vin + R1 R2 + vo(t) 5 C₁
Transcribed Image Text:Consider the following second-order circuit in Figure Q6. (a) Derive the circuit differential equation with the output voltage vo as the variable with assumption of zero initial values of both vo(t) and dv(t)/dt; (b) Given that R₁ = 1 kn, determine the values of capacitors C1, C2 and resistor R₂ to ensure that the ratio of the Laplace transform of output voltage vo to the Laplace transform of input vin satisfies the following relationship: Vo(s) Vin(s) = 106 s² + 100s + 106 where Vin(s) and Vo(s) are the Laplace transforms of the input voltage vin and the output voltage vo, respectively. C2 Vin + R1 R2 + vo(t) 5 C₁
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