The voltage of $AC$ source varies with time according to the equation, $V = 100\, \sin 100\, \pi \, t \, \cos \,100\, \pi \,t$. Where $t$ is in second and $V$ is in volt. Then:-

The peak value of an alternating e.m.f. E is given by $E = {E_0}\cos \omega \,t$ is $10\, volts$ and its frequency is $50\; Hz$. At time$t = \frac{1}{{600}}\;sec$, the instantaneous e.m.f. is

Which of the following components of a $LCR$ circuit, with $ac$ supply, dissipates energy

Match the following

Currents                                     $r.m.s.$ values

(1)${x_0}\sin \omega \,t$                               (i)$ x_0$

(2)${x_0}\sin \omega \,t\cos \omega \,t$                  (ii)$\frac{{{x_0}}}{{\sqrt 2 }}$

(3)${x_0}\sin \omega \,t + {x_0}\cos \omega \,t$        (iii) $\frac{{{x_0}}}{{(2\sqrt 2 )}}$

What are $AC$ voltage ? Write the equation for $ac$ voltage. 

A $40$ $\Omega$ electric heater is connected to a$ 200 V, 50 Hz$ mains supply. The peak value of electric current flowing in the circuit is approximately......$A$