Calculating Q for a Series LC Circuit: Where Did I Go Wrong?

[Idea04]

For a series LC circuit the Q I believe is Q= 1/R^(L/C). I have a 1.923 Henry inductor and a 4.4uF cap. The resistance in the inductor is 52.5 ohms. The answer I got was 111.86.
I know the circuit can't have a Q of that value. Where did I go wrong?

 

[vk6kro]

This looks like homework, so I'll just describe the process.

The frequency wasn't given, so I guess you mean at resonance.

The circuit resonates at ... Hz.

The reactance of the coil and capacitor at resonant frequency is ... ohms.

Q= XL / R

I get a Q of about 12.6.

 

[berkeman]

I thought it might be homework as well, but I'm not sure. Idea, could you please post your math so we can check it? Thanks.