Please show steps, Thanks In this lab we will extend the 1st-order electrical RC

Question

Please show steps,

Thanks

In this lab we will extend the 1st-order electrical RC circuit to a 2nd-order RLC circuit, as shown in the Figure. The input will be a square-wave voltage source, and we will consider the voltage across the capacitor and current through the inductor to be the system outputs. L 1.5 H C 0.1 uF R 1000 S2 Part I a) Suppose that at t 0, the voltage on the capacitor vc (0) 0, and that the input voltage source is a step va(t) vaus (t). First, assume that the output is voltage on the capacitor. Derive the state equation: Ax Bu and u [ws (t)] where x since the state variables are the same as our output variables, the output equation is just: y Cx Du where y x 1 0 and D [0] sothat C 0 1 b) Substitute the values for R, L, and Cinto the A and B matrices.

Explanation / Answer

not clear

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---