An electromotive force ?(?)={? volts,0≤?<10 volts,?≥1 is applied to an RC-series circuit in which the resistance is 10 ohms and the capacitance is 0.1 farad. If the initial charge ?(0)=0, (a) Specify the differential equation as an IVP for the RC-series circuit. (b) Write ?(?) in terms of unit step function. (c) Apply the second translation theorem of Laplace Transform to solve the IVP and find the charge ?(?) at any time t.
An electromotive force ?(?)={? volts,0≤?<10 volts,?≥1 is applied to an RC-series circuit in which the resistance is 10 ohms and the capacitance is 0.1 farad. If the initial charge ?(0)=0, (a) Specify the differential equation as an IVP for the RC-series circuit. (b) Write ?(?) in terms of unit step function. (c) Apply the second translation theorem of Laplace Transform to solve the IVP and find the charge ?(?) at any time t.
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter3: Electric Circuits
Section: Chapter Questions
Problem 11RQ
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An electromotive force ?(?)={? volts,0≤?<10 volts,?≥1 is applied to an RC-series circuit in which the resistance is 10 ohms and the capacitance is 0.1 farad. If the initial charge ?(0)=0,
(a) Specify the differential equation as an IVP for the RC-series circuit.
(b) Write ?(?) in terms of unit step function.
(c) Apply the second translation theorem of Laplace Transform to solve the IVP and find the charge ?(?) at any time t.
Transcribed Image Text:´t volts, 0 <t < 1
l0 volts, x 2 1
An electromotive force E(t)
is applied to an RC-series circuit in which
the resistance is 10 ohms and the capacitance is 0.1 farad. If the initial charge q(0) = 0,
(a) Specify the differential equation as an IVP for the RC-series circuit.
(b) Write E (t) in terms of unit step function.
(c) Apply the second translation theorem of Laplace Transform to solve the IVP and find the
charge q(t) at any time t.
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