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modeling13

# modeling13 - Modeling QUESTION 13 Find the transfer...

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Modeling Q UESTION 13 Find the transfer function ( 29 ( 29 ( 29 o i E s G s E s = for the operational amplifier circuit shown in Figure 13. + - e i (t) 200 k e o (t) 100 k 1 μ F 1 μ F Figure 13 The circuit nodes are defined in Figure 13.1 below. The constitutive law for the resistor on the bottom is ( 29 ( 29 ( 29 5 1 2 10 C B e t e t I t - = × (1) The constitutive law for the capacitor on the bottom is ( 29 ( 29 6 1 10 0 C I t e t - = - & (2)

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Modeling Taking the Laplace Transforms of equations (1) and (2), assuming zero initial conditions, and combining ( 29 ( 29 6 5 1 10 2 10 B E s I s s - = × + ÷ (3) The constitutive law for the resistor on the top is ( 29 ( 29 ( 29 5 3 10 B A e t e t I t - = (4) The constitutive law for the capacitor on the top is ( 29 ( 29 ( 29 6 3 10 A o I t e t e t - = - & & (5) Taking the Laplace Transforms of equations (4) and (5), assuming zero initial conditions, and
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modeling13 - Modeling QUESTION 13 Find the transfer...

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