An alternating current in a circuit is given by $i=i_1\sin \left(\omega t\right)+i_2\cos \left(\omega t\right)$. The RMS current in the circuit is given by _____.

The magnetic field energy in an inductor changes from maximum to minimum value in $5 \mathrm{ms}$ when connected to an AC source. The frequency of the source is _____.

An inductive coil joined to a $6 \mathrm{V}$ battery draws a steady current of  $6 \mathrm{A}.$ The coil is joined to a capacitor and an AC source of RMS voltage of $6 \mathrm{V}$ in series. If the current in the circuit is in phase with the emf, the RMS current in the circuit is _____.

An inductor coil having some resistance is connected to an AC source. The physical quantity having zero average value over a cycle is _____.

A transformer has $20$ turns of primary and $100$ turns of secondary. If the primary is connected to a $220 \mathrm{V}$ DC supply, the voltage across the secondary will be _____.

The peak value of an alternating current is $5 \mathrm{A}$ and its frequency is $60 \mathrm{Hz}$. Starting from zero, the time after which the current reaches its peak value is _____.