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Electronics Handbook/Components/RLC Network
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Series RLC
Circuit of three components R, L, C connected in series
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Differential Equation of the circuit
At equilibrium the total voltage of the circuit is zero
±
With
.
When
.
=
The equation has only one real root
s = -α =
,
=
The equation has two real roots
.
The equation has two complex roots
+
Resonance
Resonance occurs when the frequencies components cancels out . Therefore, at resonance
. .
At
At .
At
Impedance
Summary
The resonance response is in the type of Tuned Resonance Band Pass Filter
The natural response is a wave of decreasing magnitude
. One real root .
. Two real roots .
. Two complex roots .
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