A direct current of $10 \,A$ is superimposed on an alternating current $I=40 \cos \omega t\;( A )$ flowing through a wire. The effective value of the resulting current will be ....... $A$
$10 \sqrt{2}$
$20 \sqrt{2}$
$20 \sqrt{3}$
$30$
In general in an alternating current circuit
Statement $-1$ : Capacitor can be used in $a.c.$ circuit in place of choke coil.
Statement $-2$ : Capacitor blocks $d.c.$ and allows $a.c.$ only.
An alternating voltage $v\left( t \right) = 220\,\sin \,100\pi l\,volt$ is applied to a purely resistive load of $50\,\Omega $ . The time taken for the current to rise from half of the peak value of the peak value is.....$ms$
A series $LR$ circuit is connected to a voltage source with $V(t) = V_0\,\,sin\,\omega t$ . After very large time,current $I(t)$ behaves as $\left( {{t_0} > > \frac{L}{R}} \right)$
In given circuit, voltage across the inductor will be .....$V$