The governing equation for an RLC circuit driven by the applied voltage (v_{a}(t)) is derived as [L
Question:
The governing equation for an RLC circuit driven by the applied voltage \(v_{a}(t)\) is derived as
\[L \frac{d i}{d t}+R i+\frac{1}{C} \int i d t=v_{a}(t)\]
where \(L=4 \mathrm{H}, R=4 \Omega\), and \(C=\frac{1}{2} \mathrm{~F}\).
a. Write the governing equation in terms of the electric charge \(q\).
b. Assuming zero initial conditions, plot \(q\) and \(i\) versus \(t\) (same figure) when the applied voltage \(v_{a}\) is a unit impulse.
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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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