Electronics Handbook/Components/RLC Network
Appearance
Series RLC
[edit | edit source]Circuit of three components R, L, C connected in series
Differential Equation of the circuit
[edit | edit source]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
[edit | edit source]Resonance occurs when the frequencies components cancels out . Therefore, at resonance
- . .
- At
- At .
- At
Impedance
[edit | edit source]Summary
[edit | edit source]- 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 .