EEE Formula: AC Circuit

EEE Formula: AC Circuit:

Inductive Reactance, X_L = 2πfL = ωL (ohm)

Capacitive Reactance, X_C = 1/2πfC = 1/ωC  (ohm)

Impedance, Z = R+jX_L (R-L Series ckt)

Impedance, Z = R- jX_C (R-C Series ckt)

Impedance, Z = R+j(X_L - X_C) = R²+(X_L - X_C)²    [R-L-C Series ckt]

Q-Factor = 1/R√(L/C)

Resonance Condition, X_L = X_C  Power Factor = 1

V = IZ

I = V / Z = YV

Y = 1/Z = 1/R + j (1/X_C- 1/X_L) =  1/R + j (ωC - 1/ωL)

Y = G +  j B (Here,  conductance G = 1 / R  represents the real (conductive) component and B = ( B_C - B_L ) is the imaginary (reactive) part)

Inductive Susceptance, B_L = 1 / X_L = 1/ωL

Capacitive Susceptance, B_C = 1/ X_C = ωC