The rms value of voltage of the waveform shown below is, $v_{rms}=\frac{k}{\sqrt{3}} \mathrm{V}$, find the value of $k$.

The rms value of potential difference $V_0$ shown in figure is

In the given circuit the peak voltages across $C, L$ and $R$ are $30 \mathrm{V}, 110 \mathrm{V}$ and $60 \mathrm{V}$ respectively. The rms value of the applied voltage is

An alternating voltage is given by $E=100\sin \left(\omega t+\frac{\pi }{6}\right) \mathrm{V}$. The voltage will be maximum for the first time when time is ($T=$ time period)

The alternating current is given by, $i=\left\{\sqrt{42}\sin \left(\frac{2\pi }{T}t\right)+10\right\} \mathrm{A}$. The R.M.S. value of this current is __________ $\mathrm{A}$.

In the circuit shown below, if $V_s=V_m\sin \omega t$ and the diode is ideal, the average value of voltage across $R_L$ is (Assume source resistance is zero)