Time constant of an LRC circuit

AI Thread Summary
The time constant for an LRC circuit is not as straightforward as for an RC circuit, which is defined as τ = RC. In an LRC circuit, the behavior is more complex due to the presence of inductance (L), resistance (R), and capacitance (C). The time constant can be derived from the characteristic equation of the circuit, which involves the parameters L, R, and C. Specifically, the damping factor 'a' in the equation A*exp(-a*x)*cos(b*x+c) relates to the time constant, but there isn't a simple formula like 1/RC. To accurately model the circuit's response, one must consider the entire equation and its parameters in relation to the experimental data.
eljaydub
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I'm having trouble finding an equation for the time constant of an LRC circuit as a function of L, R and C. (In the same way that RC is time constant for an RC circuit) Does anyone know what the equation is?
Thanks!
 
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Hmm maybe I'll not representing this right...
Say I have an equation of the form
A*exp(-a*x)*cos(b*x+c)
for an LCR where A,a,b,c are parameters. Then 'a' corresonds to 1/(TimeConstant) but there should be a formula similar to 1/RC for an RC circuit to predict the value of that constant.
I'm looking for the formula so that I can justify my guess of the parameter to fit it to my experimental data
 
*bump*
No help?
 
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