A $280$ ohm electric bulb is connected to $200V$ electric line. The peak value of current in the bulb will be

An alternating voltage is given by : $e = e_1\, \sin \omega t + e_2\, \cos \omega t$. Then  the root mean square value of voltage is given by :-

What is the sum of the instantaneous current values over one complete $AC$ cycle ?

An $ac$ generator produced an output voltage $E = 170\,sin \,377\,t\,volts$, where $ t $ is in seconds. The frequency of $ac$ voltage is......$ Hz$

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) $\frac{{{x_0}}}{{(2\sqrt 2 )}}$

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