Basics:
| \(v=V_m\sin{\omega t}\) | v = value of alternating voltage at time t (called instantaneous value) Vm = 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) Im = 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 |
| \(I_{av}=\frac{2 I_m}{\pi} =0.637I_m \) \(V_{av}=\frac{2 V_m}{\pi}=0.637V_m\) | Iav = Average value of Current Im= Maximum value of Current |
| \(I_{rms}=\frac{ I_m}{\sqrt{2}} =0.707I_m \) \(V_{rms}=\frac{ V_m}{\sqrt{2}}=0.707V_m\) | Irms = RMS value of Current Im= 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 |
| \(X_{L}={2\pi f L}={\omega L} \) | XL=Inductive Reactance f= frequency L= Inductance |
| \(X_{C}=\frac{ 1}{2\pi f C}= \frac{ 1}{ \omega C}\) | XC=Capacitive Reactance f= frequency C= Capacitance |