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
$2×10^{-2}$ $sec$ and $14.14$ $ amp$
$1 ×10^{-2}$ $sec$ and $7.07$ $ amp$
$5 × 10^{-3}$ $sec$ and $7.07 $ $amp$
$5 × 10^{-3}$ $sec$ and $14.14$ $ amp$
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.....$A$
Which of the following units denotes the dimension $\frac{{M{L^2}}}{{{Q^2}}}$ where $Q$ denotes the electric charge?
A current in circuit is given by $i = 3 + 4\, sin\, \omega t$. Then the effective value of current is
Alternating current can not be measured by dc ammeter because
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 $t = \frac{1}{{12}}\,s$............$\,\mu C$