LCR Circuits - Otago · LCR Circuits Physics Resistor (R) Units Ω, (ohms) Inductor (L) Units H,...

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Study with us Bachelor of Science in Physics otago.ac.nz/physics LCR Circuits Physics Resistor (R) Units Ω, (ohms) Inductor (L) Units H, (henry) Capacitor (C) Units F, (farad) AC Voltage Source V R V L V S V C Current (I) is same throughout all components in the circuit. V R -phasor is parallel to the I-phasor. REACTANCE & IMPEDANCE RESONANCE Supply voltage phasor is given by the vector sum of V R , V L , and V C . SI unit for Resistance, Reactance, and Impedance is: Ohms [Ω]. V C = IX C V R = IR I V L = IX L V S = IZ V L V C V R V C X L = ωL Z = R 2 +(X L -X C ) 2 X C = ωC 1 CAPACITIVE REACTANCE LCR CIRCUIT IMPEDANCE INDUCTIVE REACTANCE V L =V C, X L = X C LC 1 Current Maximum Impedance Minimum Conditions for resonance: VOLTAGE PHASORS SUPPLY VOLTAGE V S is an AC voltage with angular frequency ω=2πf

Transcript of LCR Circuits - Otago · LCR Circuits Physics Resistor (R) Units Ω, (ohms) Inductor (L) Units H,...

Page 1: LCR Circuits - Otago · LCR Circuits Physics Resistor (R) Units Ω, (ohms) Inductor (L) Units H, (henry) Capacitor (C) AC Voltage Units F, (farad) Source V R V L V S V C Current (I)

Study with usBachelor of Science in Physics

otago.ac.nz/physics

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