A capacitor C with 1 mF is charged by a constant voltage source (U). Source and capacitor are connected by a resistor R with 10 k. To discharge the capacitor the source is replaced by a short. 1 R charging | R discharging C b) Please draw the voltage at the capacitor and the current / over a suitable timeframe. Indicate the time constant at the x-axis. c) How much energy is stored when the voltage is set to 10 V. d) 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)=Uin/out when yout is the voltage at the capacitor for w→→0 and w→∞o. What kind of filter is obtained? How can the filter characteristics be inverted?

A capacitor C with 1 mF is charged by a constant voltage source (U). Source and capacitor are connected by a resistor R with 10 k. To discharge the capacitor the source is replaced by a short. 1 R charging | R discharging C b) Please draw the voltage at the capacitor and the current / over a suitable timeframe. Indicate the time constant at the x-axis. c) How much energy is stored when the voltage is set to 10 V. d) 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)=Uin/out when yout is the voltage at the capacitor for w→→0 and w→∞o. 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

Chapter20: Capacitance In Ac Circuits

Section: Chapter Questions

Problem 2PA: You are working in an industrial plant. You have been instructed to double the capacitance connected...

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