Help with Experiment Homework: Find Delta W for Resonant Frequency Curve

[nicholasjgroo]

Homework Statement

we're measuring the quality factor of a LRC circuit and trying to find delta w for the resonant frequency curve

Homework Equations

according to the notes we were give the 'bandwitch' is measure between the points where the volatge falls to v(output)/suare root 2

The Attempt at a Solution

i can't figure it out i have several different measurements of output voltage for different frequencys so v(out)/root2 has several outcomes and i don't quite know how i solve this

 

[Jhero]

problem

Hello,

Thank you for sharing your question on the forum. It seems like you are trying to measure the quality factor of a LRC circuit and are having trouble finding the delta w for the resonant frequency curve.

To calculate the quality factor, you will need to use the formula Q = w0/Δw, where w0 is the resonant frequency and Δw is the bandwidth. In order to find Δw, you will need to use the equation given in your notes: Δw = w2 - w1, where w2 and w1 are the frequencies at which the voltage falls to V(output)/sqrt(2).

To determine w2 and w1, you will need to plot your output voltage measurements on a graph and find the points where the voltage is equal to V(output)/sqrt(2). These points will correspond to the frequencies w2 and w1 on your graph. You can then plug these values into the equation for Δw and use that to calculate the quality factor.

I hope this helps you solve your problem. Let me know if you have any further questions. Keep up the good work in your scientific endeavors!