Consider an LRC series circuit with a resistance of 2.5 ohms, capacitance of 0.1 farad, an inductance of 0.1 henry and electromotive force, volts. Given that Assume there is no initial charge and no initial current on the capacitor. The equation of the charge q(t), on the capacitor at any time t q(t)=C1e−5t+C2e−20t+0.05cost+0.2sint . (Do not solve the coefficients). a) State the equation of the current, i(t). b) State the transient and the steady-state current. c) What is the current after a long ti

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
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Author:Russell E. Smith
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Chapter8: Basic Electric Motors
Section: Chapter Questions
Problem 25RQ: List the five capacitor replacement rules.
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Consider an LRC series circuit with a resistance of 2.5 ohms, capacitance of 0.1 farad, an
inductance of 0.1 henry and electromotive force, volts. Given that
Assume there is no initial charge and no initial current on the
capacitor.
The equation of the charge q(t), on the capacitor at any time t

q(t)=C1e5t+C2e20t+0.05cost+0.2sint . (Do not solve the coefficients).

 a) State the equation of the current, i(t).
 b) State the transient and the steady-state current.
 c) What is the current after a long time.

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