Circuit Analysis

Theory question number 1 Find the resistive companion model for a non-linear resistor that is described by the following equation: I = kv3 This is what I have done so far: ∂i = 3kv 2 ∂v i n +1 = G R *Vn +1 + [ i n − ( G R * Vn ) ] ; where i = kv n3 i n +1 = in +

Linearization – Jacobian theorem The above equation is of the form I = GV – B. Now all I need to know is how do I write the matrix. That is, the conductance matrix and the history vector.

These are the next set of questions:

Here is the circuit that goes with the above problems.

I am done with number 1, just need to make sure that I got the right answer. This is the answer that I got: G(s) =

Vout ( s) 20 = Is this right? 2 Vin( s ) ( 4e − 14 ) * s + (1.4e − 7 ) * s + 20.1