/diy/ - Do It Yourself

I was messing with RLC circuits and noticed that in this setup when I tweak the L value, the voltage across it peaks at some point. So I came up a with a cool problem that I haven't seen in text books. Given this setup of RLC in series with fixed values for R=100R and C=10uF, find an expression for L to maximize voltage across it. I mean, clearly we want to lower Xl to lower the total Z and therefore increase current but we also want to keep Xl high enough to maximize the voltage drop across it. Can /ohm/ solve this? If Vin = 110V, what should be the value of L and what's the Vlmax across it? Or if you are too lazy to do the math, what's the general approach?