Question 6.7: State-Variable Model of the Circuit in Example 6.4 Reconside...
State-Variable Model of the Circuit in Example 6.4
Reconsider the circuit shown in Figure 6.21.
a. Derive the state-variable model with inductor currents and capacitor voltages as states. The input is the applied voltage v_{\mathrm{a}}, and the output is the voltage across the capacitor C.
b. Based on the state-space form obtained in Part (a), determine the differential equation relating the output voltage v_{\mathrm{o}}(t) to the input voltage v_{\mathrm{a}}(t).
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