##### From Network Analysis and Circuits

**12.3 PHASOR DIAGRAM OF SERIES RLC CIRCUIT**

The nature of the phasor diagram of a series RLC circuit depends on the

frequency *f* of the applied signal in relation to the frequency of resonance *f*_{0}.

Three different cases may be considered:

* (i) f = f _{r}, (ii) f < f_{r}, and (iii) f > f_{r}. *

with *f = f _{0}*, the reactance X

_{L}of inductor L equals the reactance

of capacitor C.

The circuit is then purely resistive and the voltage V across the circuit is

in phase with the current I. The phasor diagram for the series RLC circuit

of Figure 12.4 for the series resonance condition is shown in Figure 12.4(*a*).

*(a ) f = f _{r} (b) f < f_{r}*

*(c) f > f*

_{r}* FIGURE 12.4 Phasor diagram of the series RLC circuit.*

With *f < f _{r}*, the negative reactance X

*of capacitor C exceeds the positive*

_{c}reactance X

_{L}of inductor L. Hence, the overall reactance is capacitive.

Current I leads the applied voltage V.

More >> Show More...

##### Products & Services

##### Topics of Interest

12.4 REACTANCE AND IMPEDANCE CURVES OF A SERIES RLC CIRCUIT The reactance of inductor L = XL = ωL and its impedance Zi = 0 + jωL = 0 + jXL. Thus, the impedance of an inductor is always...

This chapter defines series and parallel resonance. The quality factor Q is then defined in terms of the series and parallel resonant frequencies. The half-power frequencies and bandwidth are also...

This chapter defines series and parallel resonance. The quality factor Q is then defined in terms of the series and parallel resonant frequencies. The half-power frequencies and bandwidth are also...

12.5 VIBRATION OF CURRENT AND VOLTAGES WITH FREQUENCY IN A SERIES RLC CIRCUIT In a series RLC circuit, impedance Z is given by Hence, current I in the series circuit is given by Magnitude At...

12.10 SELECTIVITY OF SERIES RLC CIRCUIT WITH AN L VARIABLE In certain cases, we feed to a series RLC circuit, a fixed frequency signal, and it is required to vary the inductance L to obtain the...