Circuits - Transfer function of this LRC circuit

[wcjy]

Homework Statement

Given the following circuit with the inductor L1= 8(H). The transfer function between Vo(s) and Vs(s) can be described as:
$$\frac{V_o(s)}{V_s(s)} = \frac{1}{as^3+bs^2+cs+d}$$

Find a, b, c and d in this equation. Change the inductor by L1 by another inductor L2 = B(H) such that the system has a pole at S = -2/3. Find B

Relevant Equations

-

Got B = 9.

My school doesn't provide answers, hence could someone double check if my answers is right? Thanks!

 

[gneill]

Looks good, but I think that you miscopied the constant 2 as a 3 in the final line of your derivation.

 

[wcjy]

Looks good, but I think that you miscopied the constant 2 as a 3 in the final line of your derivation.

thank you so much!