### Deduce the state space representation and state variable matrices A, B, C, and D of the RLC circuit connected with two voltage sources vi(t) & vz(t), as shown in Figure Q3(b). Assume that the outputs are the currents flowing in R1, and R2.

1 Answers

Vc and iL are the state variables.

i1 and i2 are the outputs.

(1)

KCL at node:

(2)

Outputs:

Current through R1 is iL

i1(t) = iL(t) (3)

Current through R2 is

(4)

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