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?

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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