The governing equation for an electric circuit is derived as [L frac{d i}{d t}+R i+frac{1}{C} int_{0}^{t} i(t)
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The governing equation for an electric circuit is derived as
\[L \frac{d i}{d t}+R i+\frac{1}{C} \int_{0}^{t} i(t) d t=v(t)\]
where \(L, R\), and \(C\) are the inductance, resistance, and capacitance, respectively, all constants; \(i(t)\) is the current; and \(v(t)\) is the applied voltage. Initial conditions are assumed to be zero. If \(v(t)\) and \(i(t)\) are the system input and output, respectively, find the transfer function.
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Related Book For
Modeling And Analysis Of Dynamic Systems
ISBN: 9781138726420
3rd Edition
Authors: Ramin S. Esfandiari, Bei Lu
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