Practical Electronics/Series RLC

A circuit of 3 components connected in series

RLC series circuit.png

Circuit's responseEdit

Equilibrium ResponseEdit

At Equilibrium, the sum of all volatages equal to zero

 
 
 

The equation above can be written as below

 


With

 
 
 
 

Roots of 2nd ordered differential equation above

  •  
 
  •  
 
  •  
 

Resonance ResponseEdit

The total impedance of the circuit

 
 
 
 
 
 
At   the total impedance of the circuit is Z = R . Therefore, current is equal to  
At   , Capacitor opens circuit . Therefore, current is equal to zero
At   , Inductor opens circuit . Therefore, current is equal to zero