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Q26

Linear Systems

#0000098678

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A parallel RLC circuit (R = 10 Ω, L = 1.5 H, and C = 3333 µF) is modeled by the following second-order differential equation.

\frac{d^{2} V}{d t^{2}} + (\frac{1}{R C}) \frac{d V}{d t} + \frac{V}{L C} = 0

The time-dependent voltage, V(t), has initial conditions of $V (0) = 0$ and $V' (0) = 20 V$ . Which of the following expressions gives the voltage as a function of time?