If $i = {t^2}$ $0 < t < T$ then $r.m.s$. value of current is

An AC source is rated $222 \,V , 60 \,Hz$. The average voltage is calculated in a time interval of $16.67 \,ms$. It

An $AC$ source rated $220\, V , 50\, Hz$ is connected to a resistor. The time taken by the current to change from its maximum to the rms value is

A complex current wave is given by $i = 5 + 5\, sin\, (100\, \omega t)\, A$. Its average value over one time period is given as.....$A$

The voltage of an $ac$ source varies with time according to the equation $V = 100\sin \,\left( {100\pi t} \right)\cos \,\left( {100\pi t} \right)$ where $t$ is in seconds and $V$ is in volts. Then

When a $DC$ voltage of $200\, V$ is applied to a coil of self inductance $\frac{{2\sqrt 3 }}{\pi }\,H$, a current of $1\, A$ flows through it. But by replacing $DC$ source with $AC$ source of $200\, V$, the current in the coil is reduced to $0.5\, A$. Then, the frequency of $AC$ supply is......$Hz$