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Math and Build instructions on lowpass filters
Lowpass Filters are to be used for filtering out higher frequency noise. For example: We have a signal with 1.5 Mhz, we have some noise with 2 Mhz, so let's filter the noise out to just keep the signal we want. There are different kinds of basic Lowpass Filters, LC-, RC and RL Filters. Theese basic filters always consist of two elements out of L, R and C which are Inductor (L), Resistor (R) or Capacitor (C). Higher order filters can be built by combining basic filters.
Most of our current findings apply to LC Filters. Here's some stuff about it.
LC-Lowpass Filter
What is being discussed here is a filter element looking like this:
This Lowpass filter is made of 2 LC filters and a terminating Resistor (R_L). The terminating Resistor can be ommited if not needed (?) but is shown in the graph because we will be calculating it here.