Q24 — Linear Systems

Q24

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The time-dependent voltage, V(t), in a parallel RLC circuit where R = 10 Ω, L = 1.5 H, and C = 3333 µF, is modeled by the following second-order differential equation.

d2Vdt2+(1RC)dVdt+VLC=0d2Vdt2+(1RC)dVdt+VLC=0

The initial conditions are V(0)=0V(0)=0 and V'(0)=20V(0)=20 , where t is time in seconds. What value will the voltage approach for large values of t?