Electronic – Confused with network analysis

Networkpassive-networks

Can someone please explain me their workflow in solving the following transferfunction.
I have to find the output-voltage Vo over RL, for an input-voltage of Vi.
I'm not used to network analysis, and it's pretty confusing.

As far is got, this is how I tried to solve it:
– change every component by it's impedance
– calculate the parallel equivalence impedance Z, of L1 & C1 (Z=L1//C1)
– serial sommation of Z & L2
– voltage divider, for the voltage Vo over RL

However, i don't seem to get the correct result
enter image description here

Best Answer

It's not clear to me the procedure you followed, but it seems to me you got it somewhat reversed.

Using obvious notations and calling \$V_{C1}\$ the voltage across C1:

\$V_o = V_{C1} \; \dfrac{R_L}{R_L+Z_{L2}}\$

where:

\$ V_{C1} = V_i \; \dfrac{Z_{eq}}{Z_{L1}+Z_{eq}} \qquad \$ and \$\qquad Z_{eq} = Z_{C1} \parallel (R_L+Z_{L2}) \$

put these equations together and you should have the solution.