Ch 5.R - 22E
Chapter , Problem 22E(choose chapter or problem)
(a) Show that the current i(t) in an LRC-series circuit satisfies \(L \frac{d^{2} i}{d t^{2}}+R \frac{d i}{d t}+\frac{1}{C} i=E^{\prime}(t)\), where \(E^{\prime}(t)\) denotes the derivative of E(t).
(b) Two initial conditions i(0) and \(i^{\prime}(0)\) ) can be specified for the DE in part (a). If \(i(0)=i_{0}) and \(q(0)=q_{0}\), what is \(i^{\prime}(0)\)?
Text Transcription:
Lfracd^2idt^2+Rfracdidt+frac1Ci=E^prime(t)
i^prime(0)
i(0)=i_0
q(0)=q_0
i^prime(0)
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