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?
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 2PA: You are an electrician working in an industrial plant. You discover that the problem with a certain...
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VIEWStep 2: Determining the time constant.
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VIEWStep 5: Determining the type of the filter.
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