AC through resistor, capacitor and inductor (tabular form)



Type of circuitValue of currentTotal impedanceRemarks
R circuitI=E/RZ=RBoth current and emf are in phase
L circuitI=E/XLZ=XL=LwCurrent lags emf by π/2
C circuitI=E/XCZ=XC=1/CwCurrent leads emf by π/2
LR circuitI=E/ZZ=√(R2+XL2) where XL=LwIn R: Both current and emf are in phaseIn L: Current lags emf by π/2

So θ=tan-1(Lw/R)

RC circuitI=E/ZZ=√(R2+XC2) where Xc=1/CwIn R: Both current and emf are in phaseIn C: Current leads emf by π/2

So θ=tan-1(-1/CwR)

LCR circuitI=E/ZZ=√{R2+(XL-XC)2 }where Xc=1/Cw, XL=LwIn R: Both current and emf are in phaseIn C: Current leads emf by π/2

In L: Current lags emf by π/2

So θ=tan-1{(Lw-1/Cw)/R}

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