# Series and parallel resonance circuits, how do I find the inductance and capacitance?

1. Jan 21, 2013

### Cryptex

I have been given a resonant frequency of 95KHz, a bandwidth of 1150Hz, a resistance of 3Ω and a voltage of 5V, I've calculated the series capacitance and inductance, by the use of the formulas stated below, however not sure if it's right. Can you give me the formulas for the parallel resonance? I'm not sure how to work that out.

Series Resonance Circuit

Qr = fr/f2-f1 = 95KHz/1150Hz = 82.609
Qr = Xl/R
∴ Xc = Qr*R = 82.609*3Ω = 247.826Ω
Xc = 247.286Ω
Xc = 1/(2πfC)
∴C = 1/(2πfXc) = 1/(2*π*95KHz*247.82) = 6.76nF
Xl = 2πfL
∴ l = Xl/(2πf) = 247.826/(2*π*95KHz) =415μH

^ Is this right? ^

Parallel Resonance Circuit

Not sure what to do here.