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 kô, 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 V (s) are the Laplace transforms of the input voltage vin and the output voltage vo, respectively. C2 Vin R1 R2 + vo(t) С1 Figure Q6

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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 kô, 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 V (s) are the Laplace transforms of the input voltage vin and the output
voltage vo, respectively.
C2
Vin
R1
R2
+
vo(t)
С1
Figure Q6
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 kô, 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 V (s) are the Laplace transforms of the input voltage vin and the output voltage vo, respectively. C2 Vin R1 R2 + vo(t) С1 Figure Q6
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