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AC Components and Circuits
RLC Circuit Analysis

Section 8-1 Series RLC Circuits





Series RLC Circuit


When XL is greater than XC, the phase is positive.

When  XL is less than XC, the phase is negative

When XL = XC the impedance (ZT) is the same as R, and there is no phase angle.




Analysis of a series RLC circuit, given the values of VT, XL, XC, and R

Step 1: Calculate the total impedance

ZT =

R2 + (XL - XC)2

Step 2 Calculate the total current


Step 3 Determine the current for each component

IR = IL = IC = IT

Step 4 Calculate the voltage for each component

VR = IT x R
VL = IT x XL
VC = IT x XC

Step 5 Determine the phase angle for each component and the total phase angle

qR = 0
qL = 90
qC = 90
qT = XL - XC




Endless Examples & Exercises





When VL is greater than VC, the phase is positive.

When  VL is less than VC, the phase is negative

When  VL = VC the voltage across the resistor (VR) is dental to the source voltage VT)

Voltage phasors for RLC circuits are identical to those for impedance.


The special point where where the reactances are equal (and the reactive voltage is zero



David L. Heiserman, Editor

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All Rights Reserved

Revised: June 06, 2015