Hi. I'm new Electronics student. Can pls anyone help me with my homework?
Here is the question:


Write the state space representation for the circuit below knowing that RL is a nonlinear resistor with characteristics VRL=2i3. Write the output equation knowing that it is possible to measure the current only. Find the equilibrium point and obtain the associated linear system. Is the equilibrium stable? (Explain how)

L = 1H; C = 1F; VRL=2i3 (RL is a nonlinear resistor)
Battery is 4V.

 

Where is your try?

What are the characteristics of the nonlinear resistor?

 

Nonlinear resistor with characteristics VRL=2i^3

I'm being reading all about RLC circuits now last days, there are a lot of equations, I'm so confused I don't know what to start with...