Hi!
I'm having a hard time getting when a system is stable or not.. I've read that the poles should have negative real part because that would give a negative power for the exponential e^(at) term in the time domain. That makes sense!
But now i have a problem hat is really confusing me..
I have the circuit with a capacitor, inductance and a resistor.
Source: 12v
Capacitor: 1F
Inductance: 1H
Resistor: R
And the question is: For which values of R will we get an oscillating behavior for the current?
The answer the book gives: R>0.5.
But values for R above that still gives me a negative real part for the poles..? And in my mind the real part of the poles would get close to zero from the negative side but never actually get to zero or positive, because that would require us to have negative resistance. Or am i totally wrong?
So what makes the current unstable for R>0.5?
Also, the way i've done it i can show that the poles are all real part for R<0.5 but never actually going to be positive or zero.
Can someone please shed some light on this?
I'm having a hard time getting when a system is stable or not.. I've read that the poles should have negative real part because that would give a negative power for the exponential e^(at) term in the time domain. That makes sense!
But now i have a problem hat is really confusing me..
I have the circuit with a capacitor, inductance and a resistor.
Source: 12v
Capacitor: 1F
Inductance: 1H
Resistor: R
And the question is: For which values of R will we get an oscillating behavior for the current?
The answer the book gives: R>0.5.
But values for R above that still gives me a negative real part for the poles..? And in my mind the real part of the poles would get close to zero from the negative side but never actually get to zero or positive, because that would require us to have negative resistance. Or am i totally wrong?
So what makes the current unstable for R>0.5?
Also, the way i've done it i can show that the poles are all real part for R<0.5 but never actually going to be positive or zero.
Can someone please shed some light on this?
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