Basic AC Circuit Formulas

September 13, 2024 by Staticnotes4u

$v=V_m\sin{\omega t}$	v = value of alternating voltage at time t (called instantaneous value) V_m = maximum value of alternating voltage $\omega$ = Angular velocity of the coil
$i=I_m\sin{\omega t}$	i =value of alternating current at time t (called instantaneous value) I_m = maximum value of alternating current $\omega$ = Angular velocity of the coil
$T=\frac{1}{f}$	T = Time period in second f = frequency in Hz
$\omega={2 \pi f}$	$\omega$ = Angular frequency f = frequency
$I_{av}=\frac{2 I_m}{\pi} =0.637I_m$ $V_{av}=\frac{2 V_m}{\pi}=0.637V_m$	I_av = Average value of Current I_m= Maximum value of Current
$I_{rms}=\frac{ I_m}{\sqrt{2}} =0.707I_m$ $V_{rms}=\frac{ V_m}{\sqrt{2}}=0.707V_m$	I_rms = RMS value of Current I_m= Maximum value of Current
$\text{Form factor}= \frac{\text{rms value}}{\text{average value}}$	For an alternating voltage or current varying sinusoidally, its value is 1.11
$\text{Peak factor or Crest Factor}= \frac{\text{maximum value}}{\text{rms value}}$	For an alternating voltage or current varying sinusoidally, its value is 1.414
$X_{L}={2\pi f L}={\omega L}$	X_L=Inductive Reactance f= frequency L= Inductance
$X_{C}=\frac{ 1}{2\pi f C}= \frac{ 1}{ \omega C}$	X_C=Capacitive Reactance f= frequency C= Capacitance