Application of Integration in Circuit Analysishere C is capacitance and i(t) is current function. Given C=1Fand i(t) = e" cos5t, calculate V.A current of 5te" ampere flows through a 0.1 F capacitor. Determinethe voltage v(t) across the capacitor after 0.5 seconds given initialcharged is -3 V.(Hint: The voltagethe capacitor isacrossgivenbyRC integrator circuit is a series connected RC network that producesan output signal which corresponds to the mathematical process ofintegration as shown in Figure 1.The output voltage, Vour of the RCintegrator circuit is Vour =1INGiven the values of R=1 kQ, C=10 µF and VIN = 12V. Assume thatcapacitor is initially charged to 3V. Calculate the voltage across thecapacitor after 30ms.VINVoUTFigure 1

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A current of 5te" ampere flows through a 0.1 F capacitor. Determine the voltage v(t) across the capacitor after 0.5 seconds given initial charged is -3 V. (Hint: The voltage the capacitor is given by across %3D

A current of 5te" ampere flows through a 0.1 F capacitor. Determine the voltage v(t) across the capacitor after 0.5 seconds given initial charged is -3 V. (Hint: The voltage the capacitor is given by across %3D

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 10.6CYU: Check Your Understanding In considering the following schematic and the power supplied and consumed...

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Question

Application of Integration in Circuit Analysis
here C is capacitance and i(t) is current function. Given C=1F
and i(t) = e" cos5t, calculate V.
A current of 5te" ampere flows through a 0.1 F capacitor. Determine
the voltage v(t) across the capacitor after 0.5 seconds given initial
charged is -3 V.
(Hint: The voltage
the capacitor is
across
given
by
RC integrator circuit is a series connected RC network that produces
an output signal which corresponds to the mathematical process of
integration as shown in Figure 1.The output voltage, Vour of the RC
integrator circuit is Vour =
1
IN
Given the values of R=1 kQ, C=10 µF and VIN = 12V. Assume that
capacitor is initially charged to 3V. Calculate the voltage across the
capacitor after 30ms.
VIN
VoUT
Figure 1

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