Finding a Transfer Function using Laplace

[Evales]

I'm trying to find the Transfer function of the circuit below so that I can draw the Bode plot for it. I chose to use Laplace because I think it made it a little simpler.

My equations so far:

KVL of Left Loop: EQUATION1
V_s=I₁(900+1800)-900I₂

KVL of Right Loop: EQUATION2
0=((2_E6)/s+400+900)I₂-900I₁

EQUATION3
V_o=I₂*(2_E6)/s

Rearranging EQUATION2 gives:
I₁=(1/900)((2_E6)/s +1300)I₂
Substitute this back into EQUATION1 to get Vs in terms of I₂ and s.

When I do:
H(s)= V_o/V_s
I get:
H(s)= 5000/(3(s+5000))

Which I'm pretty sure is wrong.

 

[gneill]

I think you'll want to check the math for your capacitor impedance; 1/(50E-6) is not 2E6.