4.22 The circuit of Fig. P4.22 simulates an impedance Z₁ p

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H5.
4.22 The circuit of Fig. P4.22 simulates an impedance Z₁ proportional to the reciprocal of
Z₂. Called a gyrator, it finds application as an inductance by letting Z₂ be a capacitance.
(a) Show that Z₁ R²/Z₂. (b) Using this circuit, design a second-order band-pass
filter with fo = 1 Hz, Q = 10, and zero output impedance. What is the resonance gain
of your circuit?
=
C
Z₁
0-11
R
FIGURE P4.22
R
OA1
R₁
R
R₁
m
R₁
m
OA2
R
M
Z₂
Transcribed Image Text:4.22 The circuit of Fig. P4.22 simulates an impedance Z₁ proportional to the reciprocal of Z₂. Called a gyrator, it finds application as an inductance by letting Z₂ be a capacitance. (a) Show that Z₁ R²/Z₂. (b) Using this circuit, design a second-order band-pass filter with fo = 1 Hz, Q = 10, and zero output impedance. What is the resonance gain of your circuit? = C Z₁ 0-11 R FIGURE P4.22 R OA1 R₁ R R₁ m R₁ m OA2 R M Z₂
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