Alternating Current
2.0 Alternating current and alternating voltage
2.1 Instantaneous current and voltage
2.2 Mean or average current and voltage
2.3 Root mean square current and voltage
2.4 Form factor
2.0 Alternating current and alternating voltage
2.2 Mean or average current and voltage
2.3 Root mean square current and voltage
2.4 Form factor
When an alternating voltage $V = {V_0}\sin \omega t$ is applied to a resistor $R$, it drives a current $i = {i_0}\sin \omega t$ through the resistor.
As we know, $i = \frac{V}{R}$
So, $$i = \frac{{{V_0}\sin \omega t}}{R}$$$$i = {i_0}\sin \omega $$
As we know, $$\omega = 2\pi f = \frac{{2\pi }}{T}$$
where,
$\omega :$ Angular velocity
$f:$ Frequency
$T:$ Time period
$i:$ Instantaneous current
$i_0:$ Peak value of current
$V:$ Instantaneous voltage
$V_0:$ Peak value of voltage