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I don't know if "LC resonant circuit" is a normal thing to call it so i'll explain a bit. You have V_in which goes into a resistor, then the line splits up into V_out on one side, and a capacitor and inductor connected in paralell on the other side.

So this circuit lets through pretty specific frequencies, and i can talk about it mathmatically that when [tex]\omega[/tex] is at different values i can see different things. But i was wondering if i could explain it a bit more detailed, trying to explain why physically it happens at those places.

My first thought was trying to think of it in terms of a normal resonance frequency of a standing wave (thinking of a string with two fixed points being vibrated), so if V_out has a much higher impedence then the LC part, then it could be thought of as a fixed point (total reflected wave), but the LC circuit was not, so it just passed through there easily with not much going to V_out, but at certain frequencies (depending on the values of L and C) the impedence of the LC circuit grew so high that it became a fixed point as well and reflected waves completely (although at that point it all goes through V_out i guess since it has a finite impedence, and that would no longer be a fixed point).

But i don't know, my reasoning doesn't seem very solid and i would like to hear from you guys if you had any good thoughts on the matter.