(c) Given a 50nF capacitor, calculate a suitable value of R to realise an RC LPF with a roll-off frequency fc of 3kHz. (d) For the RC LPF of Q4(c), calculate the output voltages (as phasors) for input voltages of 12V amplitude at frequencies of 300Hz, 3kHz and 30kHz. Plot these on a phasor diagram and hence explain what happens to the amplitude and phase of the output voltage, relative to the input voltage, when f >> fc.
(c) Given a 50nF capacitor, calculate a suitable value of R to realise an RC LPF with a roll-off frequency fc of 3kHz. (d) For the RC LPF of Q4(c), calculate the output voltages (as phasors) for input voltages of 12V amplitude at frequencies of 300Hz, 3kHz and 30kHz. Plot these on a phasor diagram and hence explain what happens to the amplitude and phase of the output voltage, relative to the input voltage, when f >> fc.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Chapter1: Introduction
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Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
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Question
Q4 parts c & d please
Transcribed Image Text:Q4.
(a)
Write brief notes (taking a maximum of 15 minutes) on RC filter circuits,
including in your discussion:
• The basic function of an electronic filter circuit.
Simple RC circuits for low pass (LPF) and high pass filters (HPF).
• The bode plots of RC LPFs and HPFs.
• Why RC filters are more commonplace that RL filters.
• One example application for each of the RC LPF and HPF.
(b) Starting with the voltage divider rule, show that the power transmission
coefficient T of an RC LPF is given by
• - ~ =
out
Vin
T
1
1+ (ƒ / ƒ)²³ ³
fc =
1 1
2₁ RC
(c) Given a 50nF capacitor, calculate a suitable value of R to realise an RC
LPF with a roll-off frequency fc of 3kHz.
(d) For the RC LPF of Q4(c), calculate the output voltages (as phasors) for
input voltages of 12V amplitude at frequencies of 300Hz, 3kHz and
30kHz. Plot these on a phasor diagram and hence explain what
happens to the amplitude and phase of the output voltage, relative to
the input voltage, when f >> fc.
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