A big circular coil of 1000 turns and average radius 10m is...

The magnetic flux is given by,

$ϕ = BAcos\omegat$. Therefore, induced EMF,

$ε = - \dfrac{d ϕ}{d t} = - BA\omega sin\omegat$

For maximum current $sin\omegat = 1$

⇒ {i}_\max = \dfrac{BA\omega}{R} = \dfrac{BN\pi{r}^{2}\omega}{R} = \dfrac{2 \times {10}^{- 5} \times 1000 \times 3 . 14 \times 100 \times 2}{12 . 56} = 1A