Create a low pass $$T$$ filter consisting of a capacitor and two inductors using SIMetrix. The value of the capacitor is $200$nF and the value of the inductors is $100$mH each.

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A load of $1$ k$$ is connected at the output and an AC input voltage source of $50$V max, with a sweep frequency of $100$ Hz to $10$ kHz is connected to the input.

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a$)$ Create the circuit and provide a snapshot of it$.[10]$

b$)$ Simulate the circuit and provide a snapshot of the output voltage vs input frequency waveform in the frequency range $100$Hz $10$kHz$.$ Use a linear scale for the magnitude. $[10]$

At what frequency does the circuit provide a peak output voltage? $[5]$