How to get transfer funcion at Complex LC Circuit?

Question

장훈 정 2023-3-22

回答： Naren 2023-3-28

IN -----RS -------C1--------L1----------------C3-------L3----------------C5-----L5----RL------Out

| | | |

C2 L2 C4 L4

| | | |

GND------------------------------------------------------------------------------------------------

C1 = C5 = 0.6220 pF, L1 = L5 = 45.63 nH

C2 = C4 = 21.82 pF, L2 =L4 = 1.300 nH

C3 = 0.3612 pF, L3 = 78.58 nH

Given above LC circuit

I want to get a transfer function. But in the examples, it is difficult because only simple circuits are shown

I'm from mechanical engineering so it's hard for me to do a project like this. Any help would be greatly appreciated.

Answer 1

Naren 2023-3-28

I believe you are trying to get the transfer function for the above LC circuit. Here are the steps to achieve that.

Consider the impedance of capacitor as 1/sc.
Similarly for the inductor as sL. Find the total impedance when looking from the input port.
Now find out the relationship between input and output ports in terms of the impedance.

For more information, you can refer to below documentation

Analysis of RLC ciruit, Transfer function modeland there are a lot of websites which provide information on how to get the transfer function from a circuit.