Question

If $E=500sin\left(100\pi t\right)$ volt then calculate time taken to reach from zero to maximum.

Answer 1

$E=500\sin \left(100\pi t\right)$

$E_{max}=500$

At, $t=0,E=0$

and $E=E_{max}$

$⟹500\sin \left(100\pi t\right)=500$

$⟹\sin \left(100\pi t\right)=1$

$⟹100\pi t=\frac{\pi }{2}$

$⟹t=\frac{1}{200}s=5ms$

hence, time taken to reach from 0 to maximum is $t=5ms$