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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text: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 kQ. To discharge the capacitor the source is replaced by a
short.
U
R
charging
C
R
discharging
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→∞. What kind of filter is
obtained? How can the filter characteristics be inverted?
e) The voltage source is replaced by a constant current source with an output of 1 mA.
Please draw the voltage at the capacitor qualitatively over the time.
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Step 1: Summarize the given information.
VIEWStep 2: Calculating the initial voltage.
VIEWStep 3: Drawing the voltage and current curves.
VIEWStep 4: Calculating the energy stored in the capacitor.
VIEWStep 5: Determining the magnitude of the transfer function.
VIEWStep 6: Determining the type of the filter.
VIEWStep 7: Reversing the characteristics of the filter.
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