LC Filter Attenuation

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Hi I built a simple LC low pass filter and I supply it with a 1 volt peak to peak ac voltage at 200 Hz from a function generator. My cutoff is set at 700 Hz and I have selected my circuit components based on this cutoff. However, when I hook up my circuit to the Oscilloscope both the input and output seem to be attenuated when measured on the Oscilloscope. The input and output shows up to be around 150 mv Peak to Peak instead of 1Volt Peak to Peak. I believe the capacitors have something to do with this attenuation. What are your suggestions to solve this problem ? Thanks enter image description here

Best Answer

If your function generator has a 50-ohm output impedance, I think your results make sense.

$$Z_{C1} = Z_{C2} = \frac 1 {j 2 \pi \cdot 200\ \mathrm{Hz} \cdot 28\ \mathrm{\mu F}} = -j15.9\ \mathrm \Omega$$

$$Z_{L1} = j 2 \pi \cdot 200\ \mathrm{Hz} \cdot 3.63\ \mathrm{mH} = j4.6\ \mathrm{\Omega}$$

Using series and parallel combinations, I get a total impedance of \$6.4 -j1.3\ \Omega\$, or \$~6.6 \angle -11 ^\circ\ \Omega\$ in polar notation. With a 50-ohm output impedance, your expected scope voltage on the input would be:

$$1.414\ \mathrm V \frac {6.6\ \Omega} {50\ \Omega + 6.6 \Omega} \approx 165\ \mathrm{mV}$$

That's amplitude, not peak to peak, so maybe I'm missing a factor of two somewhere in my calculations, or maybe there's some other limit on the generator output. Regardless, that is the right order of magnitude to expect. You can't hook an ~8-ohm load up to a 50-ohm generator and expect to see the full generator voltage.