3. In the circuit below, L = 2 mH, C = 1 μF, R₂ = 1 ks2, R = 100 k2, the initial conditions are all zero and the op-amp is ideal. a) Determine the transfer function, H(s) = Vo(s) V₁(s)* b) Compute the value for [H(jw)| in decibel (dB) at @ = 0 rad/s; w = 376 x 10³ rad/s; w = 376 x 104 rad/s. c) Determine the type of filter implemented by the circuit. i) ii) iii) fa the passhand gain An in

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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3. In the circuit below, L = 2 mH, C = 1 µF, R₁ = 1 ks2, R = 100 k2, the initial conditions are
all zero and the op-amp is ideal.
a) Determine the transfer function, H(s) =
Vo(s)
V₁(s)*
b) Compute the value for [H(jw)| in decibel (dB) at
i)
ii)
iii)
@ = 0 rad/s;
@= 376 x 10³ rad/s;
@= 376 x 10¹ rad/s.
c) Determine the type of filter implemented by the circuit.
d) If the circuit is a low-pass or high-pass filter, find the values for the passband gain A, in
decibel (dB) and the filter order n. If it is a band-pass or band-reject filter, determine the
values for the resonance frequency, w, and the bandwidth, B.
+
v;(t)
R₁
ww
R₂
ww
L
+
=vo(t)
Page 6 of 11
Transcribed Image Text:3. In the circuit below, L = 2 mH, C = 1 µF, R₁ = 1 ks2, R = 100 k2, the initial conditions are all zero and the op-amp is ideal. a) Determine the transfer function, H(s) = Vo(s) V₁(s)* b) Compute the value for [H(jw)| in decibel (dB) at i) ii) iii) @ = 0 rad/s; @= 376 x 10³ rad/s; @= 376 x 10¹ rad/s. c) Determine the type of filter implemented by the circuit. d) If the circuit is a low-pass or high-pass filter, find the values for the passband gain A, in decibel (dB) and the filter order n. If it is a band-pass or band-reject filter, determine the values for the resonance frequency, w, and the bandwidth, B. + v;(t) R₁ ww R₂ ww L + =vo(t) Page 6 of 11
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