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A capacitor C is charged by a constant voltage source (U= 1 V). Source and capacitor are connected by a resistor R with 10 k. The voltage at the capacitor is denoted as Uc. 10 ΚΩ 1 V The charging characteristics is shown in the following graph. Uc/U in a.u. 0.8 0.6 0.4 0.2 0.2 0.4 0.6 time in s 0.8 U₁ ×10'7 a) Please determine the time constant . If necessary, add information to the diagram above. b) Please calculate the capacitance C. c) When the constant voltage source is replaced by an alternating voltage source with a sinusoidal output, please derive the magnitude of the transfer function H(jw)=Uout/Uin when Uout is the voltage at the capacitor for w → 0 and w →∞. What kind of filter is obtained? How can the filter characteristics be inverted?

A capacitor C is charged by a constant voltage source (U= 1 V). Source and capacitor are connected by a resistor R with 10 k. The voltage at the capacitor is denoted as Uc. 10 ΚΩ 1 V The charging characteristics is shown in the following graph. Uc/U in a.u. 0.8 0.6 0.4 0.2 0.2 0.4 0.6 time in s 0.8 U₁ ×10'7 a) Please determine the time constant . If necessary, add information to the diagram above. b) Please calculate the capacitance C. c) When the constant voltage source is replaced by an alternating voltage source with a sinusoidal output, please derive the magnitude of the transfer function H(jw)=Uout/Uin when Uout is the voltage at the capacitor for w → 0 and w →∞. What kind of filter is obtained? How can the filter characteristics be inverted?

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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A capacitor C is charged by a constant voltage source (U= 1 V). Source and capacitor are connected by a resistor R with 10 k. The voltage at the capacitor is denoted as Uc. 10 kQ 1 V The charging characteristics is shown in the following graph. Uc/U in a.u. 0.8 0.6 0.4 0.2 0.2 0.4 0.6 time in s 0.8 U₁ ×10-7 a) Please determine the time constant . If necessary, add information to the diagram above. b) Please calculate the capacitance C. c) When the constant voltage source is replaced by an alternating voltage source with a sinusoidal output, please derive the magnitude of the transfer function H(jw)=Uout/Uin when yout is the voltage at the capacitor for w→ 0 and w →∞. What kind of filter is obtained? How can the filter characteristics be inverted?
Transcribed Image Text:A capacitor C is charged by a constant voltage source (U= 1 V). Source and capacitor are connected by a resistor R with 10 k. The voltage at the capacitor is denoted as Uc. 10 kQ 1 V The charging characteristics is shown in the following graph. Uc/U in a.u. 0.8 0.6 0.4 0.2 0.2 0.4 0.6 time in s 0.8 U₁ ×10-7 a) Please determine the time constant . If necessary, add information to the diagram above. b) Please calculate the capacitance C. c) When the constant voltage source is replaced by an alternating voltage source with a sinusoidal output, please derive the magnitude of the transfer function H(jw)=Uout/Uin when yout is the voltage at the capacitor for w→ 0 and w →∞. What kind of filter is obtained? How can the filter characteristics be inverted?
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