(Solved): 1. Determine the state-space representation for the electrical network shown in Figure 1, where R= ...

1. Determine the state-space representation for the electrical network shown in Figure 1, where R=10, C1=0.5F, C2=2F and L=0.5H. Consider vi(t) as the input and the voltage across inductor as the output of the system. Use x1(t)-i1(1), x2(t)=Vc1(t), and x3(t)=Vc2(t) as the state variables. State vanable. L VO( Ve:(0) Ve:(1) Figure 1 Represent the rotational mechanical system shown in Figure P3.6 in state space, where 8(t) is the output. [Section: 3.4] 795 30 kg-² N? = 30 N?= 1000000 100 kg-² 100 N-m-/rad 100 N-marad FIGURE P3.6