Consider the RLC circuit shown in Figure 6.30, where (R_{1}=100 Omega, L=20 mathrm{H}, R_{2}=400 Omega), and (C=1

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Consider the RLC circuit shown in Figure 6.30, where \(R_{1}=100 \Omega, L=20 \mathrm{H}, R_{2}=400 \Omega\), and \(C=1 / 120 \mathrm{~F}\). The circuit is driven by a 100 V DC voltage source.

a. Build a Simscape model of the physical system and find the output voltage \(v_{\mathrm{o}}(t)\).

b. Build a Simulink model of the system based on the state-space form and find the output voltage \(v_{0}(t)\).

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