Question

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

Answer 1

Time period of one complete cycle = 1/f

Time taken in reaching from zero to maximum value is (1/4)th of one complete cycle.

$\Rightarrow$ Time taken in reaching from zero to maximum value = $\frac{1}{4f}$

$=\frac{1}{4\times 50}$

$=0.005$

$I_{rms}=\frac{I_p}{\sqrt{2}}$

$I_p=I_{rms}\sqrt{2}$

$I_p=10\sqrt{2}$ Amp.