The frequency of an alternating voltage is $50$ cycles/sec and its amplitude is $120\,V$. Then the $ r.m.s$. value of voltage is........$V$

Find the rms value for the saw-tooth voltage of peak value $V_0$ from $t = 0$ to $t = 2T$ as shown in figure

Two cables of copper are of equal lengths. One of them has a single wire of area of cross-section $A$, while other has $10$ wires of cross-sectional area $A / 10$ each. Give their suitability for transporting $A.C.$ and $D.C.$

The charge in an $LC$ circuit with negligible resistance oscillates as given by equation $\frac{{{d^2}q}}{{d{t^2}}} + 16{\pi ^2}q = 0$. If the charge is maxiumum equal to $24\,\mu C$ at $t = 0$, find the charge at $t = \frac{1}{{12}}\,s$............$\,\mu C$

Find the time required for $50\,Hz$ alternating current to change its value from zero to maximum value.

The $ r.m.s$. value of an ac of $ 50 Hz$ is $10 amp$. The time taken by the alternating current in reaching from zero to maximum value and the peak value of current will be