**Quality Factor of Parallel RLC Circuit:**

Consider the Quality Factor of Parallel RLC Circuit shown in Fig. 8.16.

In the circuit shown, the condition for resonance occurs when the susceptance part is zero.

Admittance

The frequency at which resonance occurs is

The voltage and current variation with frequency is shown in Fig. 8.17. At resonant frequency, the current is minimum.

The bandwidth,

For Parallel RLC Circuit, to obtain the lower half power frequency,

From Eq. 8.26, we have

If we simplify Eq. 8.27, we get

Similarly, to obtain the upper half power frequency

From Eq. 8.29, we have

Bandwidth

The quality factor is defined as

In other words,

In the case of an inductor,

The maximum energy stored = 1/2 LI^{2}

Energy dissipated per cycle = (I/√2)^{2} x R x T

The quality factor

For the capacitor, maximum energy stored = 1/2 (CV^{2})

The quality factor