$6\mathrm{.}9$ An RLC circuit with a parallel bypass resistor $($Problems $3\mathrm{.}12$ and $5\mathrm{.}13)$ is shown in Fig. P$6\mathrm{.}9.$ At time $t=0$ the circuit has zero current in both loops and the capacitor $C$ has a stored charge of $0\mathrm{.}01$ C $.$ The system parameters are $R_1=0\mathrm{.}4,R_2=0\mathrm{.}2,C=0\mathrm{.}04F,$ and $L=0\mathrm{.}01H.$ Use Simulink to obtain the system response where the source voltage is a sinusoidal function, $e_{in}(t)=0\mathrm{.}5sin10tV.$ A voltmeter is used to measure the voltage across the capacitor $C.$ Plot Simulink's prediction of the voltmeter output for a simulation time of $1\mathrm{.}5$ s $.$

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Figure P$6\mathrm{.}9$