Find the frequency in an LRC circuit

[tony873004]

w=w₀^2 - alpha^2
and then take the square root of this.

But I keep getting a negative number and I can't put this under the root symbol. I remeber he discussed this in class but I can't find it in my notes. How do I deal with the negative so I can find the frequency?

 

[Redbelly98]

Not all RLC circuits will oscillate. If R, L, & C are such that
alpha > w0
you get the situation you are describing.

 

[Moetasim]

The frequency in an LRC circuit can be found using the formula w=w0^2 - alpha^2, where w0 is the resonant frequency and alpha is the damping factor. However, if you are getting a negative number when plugging in the values for w0 and alpha, it means that the circuit is overdamped and there is no resonant frequency. In this case, the square root cannot be taken and the frequency cannot be calculated using this formula.

To deal with the negative number, you can try using a different formula that takes into account the overdamped condition, such as w=alpha - sqrt(alpha^2 - w0^2). Alternatively, you can also try adjusting the values of w0 and alpha to see if you can get a positive number that can be used in the original formula. If you are still unsure, I recommend consulting your notes or asking your professor for clarification. It is important to understand the concept of overdamping and how it affects the frequency calculation in an LRC circuit.