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Trouble calculating transfer function of 3rd order RC lowpass filter

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I am working on simulations of a 3rd order RC filter.

Cascaded first order RC lowpass X3 with:R = 100 ohms,C = 3.3 nF.

When I perform the calculations for the transfer function I get a result that is different from the theoretical which is just 3 cascaded 1st order RC filters.

Circuit:Circuit

Cascaded:Cascaded transfer function

Calculated:Calculated transfer function

When I simulate the circuit in LTspice and plot both the above equations in Matlab, the simulation matches the Cascaded formula.

LTspiceBode Plot, Cascaded

Versus:Bode Plot, Calculated

Am I deriving the transfer function incorrectly here or is it some other issue?

Full Calculations:Calculations 1Calculations 2


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