How do I get my H(s) transfer function from this circuit? If there was infinite impedance between the two filters, I'd just do H_LP (s) * H_HP (s). However, we are assuming that the input/output impedance of the high/low pass components are having a non-negligible effect, call it H_z (s). So our final equation should look like: H(s) = H_LP (s) * H_z (s) * H_HP (s). I'm trying to quantify that H_z (s) term.
Solving the circuit should help with H(s). I think there's something I can do with KCL, but I'm stuck. If you could walk me through getting Vi and Vo as a function of s, R and C, that'd be appreciated as well.