Since there are two basic types of LC circuits that can be used for passing/blocking signals, I'd like to know the differences when using series or parallel LC circuits for noise at a known frequency.
Of course, the parallel LC (tank) circuit is a stop band filter:
and the series LC circuit is a pass band filter:
However, if one wanted to remove a signal with frequency f, one could either use the parallel LC circuit tuned to that frequency to resonantly absorb the signal, or the series LC circuit tuned to that frequency but shorted to ground to preferentially pass that signal to ground.
Which is better to use and why?
If your receiving circuit were high input impedance, then using a parallel LC would not work as well as a series LC to ground. If your input impedance were low then the parallel LC would likely work more effectively.