AC formula _ AC circuit calculation formula - Solutions - Huaqiang

Cycle and frequency Cycle---the frequency of time required for the change of the amount of exchange---the number of changes in the amount of exchange in one second Where: T--period (S)
------f--frequency (Hz)
------ - angular frequency (rad/r) Sinusoidal AC voltage U=Umsin(ωt+τu)
Where: u--voltage instantaneous value (V)
------Um-voltage maximum (V)
------τu-angular frequency (rad/s) Sinusoidal alternating current Imsin(ωt+τi)
Where: u---voltage instantaneous value (V)
------Um--voltage maximum (V)
------Ï„u-current initial phase angle (rad) Maximum value,
Valid value,
average value Instantaneous value: Where: I---current RMS (A)
------Im--current maximum (A)
------Icp-current average (A) Pure resistance circuit Instantaneous value: u=Umsin(ωt+τu) ----i=Imsin(ωt+τu) maximum value Um=RIm
Effective value U=RI active power: Reactive power: Q=0
The initial phase angle τu=τi, u is the same as i Pure inductor circuit Instantaneous value: ul=Ulmsin(ωt-0°C) i=Ilmsin(ωt-90°C) maximum Ulm= X l I lm
Valid value Ul= X l I l
Where: XL = ωL = 2πfL
Effective power PL=0
Reactive power Q= U L I L=XL I L
The initial phase angle τu=0°C, τi=-90°C, UL leads the iL90°C Pure capacitor circuit Instantaneous value: Uc=Ucmsin(ωt+0°C) --i=Icmsin(ωt-90°C)
Maximum value: Ucm=Xc I cm
Valid values: Uc=Xc I c where: Active power: Pc=0
Reactive power: Qc=UcIc=XcFc
The initial phase angle τu=0°C, τi=90°C, Uc lags behind ic90°C RLC
Parallel resistance Valid values: I=UY admittance: When bL=bc, Y=g, I is in phase with U, called parallel resonant susceptance b=bL-bc
When bL=0, it becomes the RC parallel circuit. When bc=0, it becomes the active power of RL parallel circuit P=UIcosτ
Reactive power Q=UIsinτ inspecting power Power factor cosτ= Equivalent impedance and equivalent admittance transformation resistance Density Equivalent impedance and equivalent admittance transformation

Series splicing L=L1+L2+2M
Reverse L=L1+L2-2M

in parallel Where: L---total inductance
------M---mutual sense Y-â–³ impedance transformation Y-â–³ Y-â–³ impedance transformation Y-â–³ When Zab=Zbc=Zca=Z â–³,