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(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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q4 parts c & d please

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.
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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