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Consider the circuit on the left with two resistors, a capacitor and an ideal OP-AMP. You may make simplifying assumptions about the OP-AMP but you must state your assumptions clearly. (a) By making a suitable assumption for the capacitor, find the DC gain of this circuit, namely, (vo/v₁)DC (Hint: How does the capacitor behave for steady- state DC voltages?)

Consider the circuit on the left with two resistors, a capacitor and an ideal OP-AMP. You may make simplifying assumptions about the OP-AMP but you must state your assumptions clearly. (a) By making a suitable assumption for the capacitor, find the DC gain of this circuit, namely, (vo/v₁)DC (Hint: How does the capacitor behave for steady- state DC voltages?)

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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I solved it in frequency-domain way. And answer is correct. But didn't get point, Can you explain why should I use this way to solve it? More details. Thank you! As soon as possible!

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Consider the circuit on the left with two resistors, a capacitor and an ideal OP-AMP. You may make simplifying assumptions about the OP-AMP but you must state your assumptions clearly. M R₂ VI (a) By making a suitable assumption for the capacitor, find the DC gain of this circuit, namely, (vo/v₁)DC (Hint: How does the capacitor behave for steady- state DC voltages?) -VO (b) Write down a general expression that relates vi to vo. You do not have to solve the equation yet. (c) Assuming the input voltage is a step function that is zero before t<0 and vi after t>0, obtain an expression for the output voltage assuming vo=0 at t=0. (d) Sketch the output voltage as a function of time using your result from (c). C) V₁ = VINCE) Vz tttt R₁ R₂ VIIS) V₁ s VOCs) R. > -Sc-Vocs) (V) bet --((Skic) Vo(s) = R₁ -R. Vz -RIVI R₂ R₂SCHSRIC) R₂ V₁ Vo -VI R₂ Cs (stic) v`=v² = 0 こ pa Is-(state) R₂ Apply KcL at U-(OV) = D-Vo_cd(0-Uo) de Voc+) = - Roux [LeRic]urt) t R₂ R₂ =- V₂ - calle Ri de c) V=U+=0 VI t> 0 + 24 R₂ с 14 R₁ Vo с HI R₁ > VI SR₂ Vocs) = d) at t=0 → Ub(+) = 0 t=∞ > Voce) = -RUI Vo(t) R₂ St
Transcribed Image Text:Consider the circuit on the left with two resistors, a capacitor and an ideal OP-AMP. You may make simplifying assumptions about the OP-AMP but you must state your assumptions clearly. M R₂ VI (a) By making a suitable assumption for the capacitor, find the DC gain of this circuit, namely, (vo/v₁)DC (Hint: How does the capacitor behave for steady- state DC voltages?) -VO (b) Write down a general expression that relates vi to vo. You do not have to solve the equation yet. (c) Assuming the input voltage is a step function that is zero before t<0 and vi after t>0, obtain an expression for the output voltage assuming vo=0 at t=0. (d) Sketch the output voltage as a function of time using your result from (c). C) V₁ = VINCE) Vz tttt R₁ R₂ VIIS) V₁ s VOCs) R. > -Sc-Vocs) (V) bet --((Skic) Vo(s) = R₁ -R. Vz -RIVI R₂ R₂SCHSRIC) R₂ V₁ Vo -VI R₂ Cs (stic) v`=v² = 0 こ pa Is-(state) R₂ Apply KcL at U-(OV) = D-Vo_cd(0-Uo) de Voc+) = - Roux [LeRic]urt) t R₂ R₂ =- V₂ - calle Ri de c) V=U+=0 VI t> 0 + 24 R₂ с 14 R₁ Vo с HI R₁ > VI SR₂ Vocs) = d) at t=0 → Ub(+) = 0 t=∞ > Voce) = -RUI Vo(t) R₂ St
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