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?)
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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!
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a579a7f-99c6-465f-8352-06e32f8837ce%2F562b094e-1072-43fb-8b35-a9b20235651a%2Fo44onie_processed.png&w=3840&q=75)
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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