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LCR CircuitsPhysics

Resistor (R)Units Ω, (ohms)

Inductor (L)Units H, (henry)

Capacitor (C)Units F, (farad)AC Voltage

SourceVR VL

VS VC

Current (I) is same throughout all components in the circuit. VR -phasor is parallel to the I-phasor.

REA

CTA

NCE

& IM

PED

AN

CERE

SON

AN

CE

Supply voltage phasor is given by the vector sum of VR , VL , and VC .

SI unit for Resistance, Reactance, and Impedance is: Ohms [Ω].

VC = IXC

VR = IR

I

VL = IXL

VS = IZ

VL

VC

VR

VC

XL = ωL

Z = R2+(XL−XC)2

XC = ωC1

CAPACITIVE REACTANCE

LCR CIRCUIT IMPEDANCE

INDUCTIVE REACTANCE

VL=VC, XL = XC

LC1

Current Maximum Impedance Minimum

Conditions for resonance:

VOLT

AG

E PH

ASO

RSSU

PPLY

VO

LTA

GE

VS is an AC voltage with angular frequency ω=2πf