Parallel RLC Circuit

Current source:
I(t) = Im ∠θ

Admittance:


Resonant frequency:
Frequency response of voltage amlitude:


Half-power frequencies (ω1, ω2):


Half-power bandwidth (B):

Quality factor (Q):
Q = 2 π (Peak energy stored)/(Energy dissipated in one period at resonance)

Increase in R leads to

  • No change in ω0
  • Increase in V
  • Increase in Q
  • Decrease in B

Increase in L leads to

  • Decrease in ω0
  • No change in V
  • Decrease in Q
  • No change in B

Increase in C leads to

  • Decrease in ω0
  • No change in V
  • Increase in Q
  • Decrease in B

 

Change in R,


Change in L,


Change in C,