-10- Magnitude (dB) -5 -15 -20 -25 -30 Phase (deg) -35 Or -90 R₁ C₁ 10³ Bode Plot of 1st Order RC Circuit Frequency (rad/s) 104 105 Above are a 1st Order RC filter and its bode plot. For the above circuit, assume wc = 2,272.73 rad and C₁ = 0.22μF: A) Determine which kind of filter (Lowpass, Highpass, Bandpass, Notch) is the above circuit. B) Find the magnitude of the transfer function at the corner frequency, H(w = wc), in units of dB. C) Find R₁ in units of kn. D) Using the Bode Plot, find the approximate frequency fi in units of kHz at which |H(f₁)| = -25dB. E) Using the Bode Plot, find the approximate |H(w = 7,000 rad)|linear (no units). F) Assume at w = 7,000, Vin = 10/45°V and ZH(w) = -72°. Using these assumptions and Part E, find Vout at w = 7,000 rad in Avout 40vout form and in units of [V]4[°]. sec sec

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Vin (t) (2
Magnitude (dB)
Phase (deg)
R₁
ww
-5
-10
-15
-20
-25
-30
-35
Or
-45
-90
10²
C₁
10³
Bode Plot of 1st Order RC Circuit
Frequency (rad/s)
104
Above are a 1st Order RC filter and its bode plot. For the above circuit, assume wc = 2,272.73 rad and
C₁ = 0.22µF:
A) Determine which kind of filter (Lowpass, Highpass, Bandpass, Notch) is the above circuit.
B) Find the magnitude of the transfer function at the corner frequency, H(w = wc), in units of dB.
105
C) Find R₁ in units of kn.
D) Using the Bode Plot, find the approximate frequency fi in units of kHz at which |H(f₁)| = -25dB.
E) Using the Bode Plot, find the approximate |H(w = 7,000 rad)|linear (no units).
F) Assume at w = 7,000 rad Vin = 10/45°V and ZH(w) = -72°. Using these assumptions and Part E,
sec'
sec
find Vout at w = 7,000 rad in Avout 40vout form and in units of [V][].
sec
Transcribed Image Text:Vin (t) (2 Magnitude (dB) Phase (deg) R₁ ww -5 -10 -15 -20 -25 -30 -35 Or -45 -90 10² C₁ 10³ Bode Plot of 1st Order RC Circuit Frequency (rad/s) 104 Above are a 1st Order RC filter and its bode plot. For the above circuit, assume wc = 2,272.73 rad and C₁ = 0.22µF: A) Determine which kind of filter (Lowpass, Highpass, Bandpass, Notch) is the above circuit. B) Find the magnitude of the transfer function at the corner frequency, H(w = wc), in units of dB. 105 C) Find R₁ in units of kn. D) Using the Bode Plot, find the approximate frequency fi in units of kHz at which |H(f₁)| = -25dB. E) Using the Bode Plot, find the approximate |H(w = 7,000 rad)|linear (no units). F) Assume at w = 7,000 rad Vin = 10/45°V and ZH(w) = -72°. Using these assumptions and Part E, sec' sec find Vout at w = 7,000 rad in Avout 40vout form and in units of [V][]. sec
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