At ω = 0 , Capacitor opens circuit . Therefore, I = 0
At Resonance Frequency , Impedance of L and C cancel out.
Therefore, the Impedance of the circuit is R and at minimum value and Current will be at its maximum value
ZL - ZC = 0 .
Z = ZR + ZL + ZC = ZR + 0 = R
At ω = 0 , Inductor opens circuit . Therefore, I = 0
From three paired value ω and I graph of I - ω can be plotted . From graph
ω
I
0
0
00
0
At resonance frequency , current is at its maximum value . If the current is reduced to half the resonance value then the circuit is respond to a bandwidth of frequencies . Further reduce or increase the value of the current below or above the circuit will respond to a Wider or Narrower Bandwidth
In conclusion, RLC series can be used as a Resonance Tuned Selectede Band Width Filter by Tuning L or C into Resonance Frquency to have a maximum value . Increasing or Descreasing the value of R to yield a desired bandwidth
1) Tune L or C into Resonance Frquency . Current is at its mmaximum value
2) Reduce Current by increasing R . Current value at voltage is stable over a band width . Current under the value I < Current is stable over a wide band width . Current over the value I > Current is stable over a narrow band width