с 5. 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. R₁ R₂ VI (a) By making a suitable assumption for the capacitor, find the DC gain of this circuit, namely, (vo/VI)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). t> 0

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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5. 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.
21
R2
www
UI
(a) By making a suitable assumption for
the capacitor, find the DC gain of this
circuit, namely, (vo/VI)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).
HH
R₁
ww
Transcribed Image Text:5. 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. 21 R2 www UI (a) By making a suitable assumption for the capacitor, find the DC gain of this circuit, namely, (vo/VI)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). HH R₁ ww
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