A series circuit containing R, (L) and (C) is excited by a step voltage input. The voltage

Question:

A series circuit containing R, $L$ and $C$ is excited by a step voltage input. The voltage across the capacitance exhibits oscillations. The damping coefficient (ratio) of this circuit is given by:
(a) $\zeta=\frac{\mathrm{R}}{2 \sqrt{\mathrm{LC}}}$
(b) $\zeta=\frac{\mathrm{R}}{\mathrm{LC}}$
(c) $\zeta=\frac{\mathrm{R}}{2 \sqrt{\mathrm{C} / \mathrm{L}}}$
(d) $\zeta=\frac{\mathrm{R}}{2 \sqrt{\mathrm{L} / \mathrm{C}}}$

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