Question

Problem 3 (a) In the following circuit assume $Z_1$ and $Z_2$ are resistors. What is the dc gain of the circuit ($V_{out}/V_{in}$)? $V_{in}$ + $V_{out}$ $Z_2$ $Z_1$ GND (b)Assuming $Z_1$ is real and $V_{in}$ is a sinusoidal signal, what should $Z_2$ be if the magnitude frequency response of the circuit ($H(j\omega) = \frac{V_{out}(j\omega)}{V_{in}(j\omega)}$) looks like the plot given below? 25 20 Magnitude of H(w) [dB] 15 10 5 0 0.1\omega 10\omega (c) Assume $Z_1 = j\Omega$ and $Z_2 = 1\Omega$. What is $V_{out}(t)$ if $V_{in}(t) = Cos(2000\pi t)$. (Impedances are given at the frequency of 1kHz.

          Problem 3
(a) In the following circuit assume $Z_1$ and $Z_2$ are resistors. What is the dc gain of the circuit ($V_{out}/V_{in}$)?
$V_{in}$
+
$V_{out}$
$Z_2$
$Z_1$
GND
(b)Assuming $Z_1$ is real and $V_{in}$ is a sinusoidal signal, what should $Z_2$ be if the magnitude frequency
response of the circuit ($H(j\omega) = \frac{V_{out}(j\omega)}{V_{in}(j\omega)}$) looks like the plot given below?
25
20
Magnitude of H(w) [dB]
15
10
5
0
0.1\omega
10\omega
(c) Assume $Z_1 = j\Omega$ and $Z_2 = 1\Omega$. What is $V_{out}(t)$ if $V_{in}(t) = Cos(2000\pi t)$. (Impedances are
given at the frequency of 1kHz.

Problem 3
(a) In the following circuit assume Z1 and Z2 are resistors. What is the dc gain of the circuit (Vout/Vin)?
Vin
+
Vout
Z2
Z1
GND
(b)Assuming Z1 is real and Vin is a sinusoidal signal, what should Z2 be if the magnitude frequency
response of the circuit (H(jω) = (Vout(jω))/(Vin(jω))) looks like the plot given below?
25
20
Magnitude of H(w) [dB]
15
10
5
0
0.1ω10ω(c) Assume Z1 = jΩ and Z2 = 1Ω. What is Vout(t) if Vin(t) = Cos(2000π t). (Impedances are
given at the frequency of 1kHz.

Added by Xavier R.

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