this is my first time here, nice to meet you all.
In one of my classes we are studying the resonance of an LRC Circuit where the C branch is in parallel with an RL branch. This circuit is driven by a function generator made 1Vpp sine wave, and we are looking for the natural frequency, and two corner frequencies (where Vo/Vin = 0.707)
The setup of the circuit is like this: the signal goes through a 1k resistor, then at the opposite side of the resistor, the node splits into 2 parallel branches, where 1 has a capacitor of 0.011uF and the other branch has a 51 ohm resistor in series with a 9.8mH inductor. The circuit can be seen here:
I set the transfer function equal to 0.707 for Vo/Vin but I ended up getting s=jw=16060+-93637i. I do not understand this result, mainly because we have barely even touched on transfer functions and solving for resonance this way. How can I get from my result (if it is even correct) to the angular frequency and thus the actual frequency?
You don't need to solve it for me, just a gentle nudge in the right direction would help tons. I asked the professor but I think I'm on my own for this one.
Thank you all