lcr circuits - otago · lcr circuits physics resistor (r) units Ω, (ohms) inductor (l) units h,...
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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
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