A generator in code

You will write three small functions about a coil that turns in a magnetic field. They use $e = e_0\sin\omega t$ with $e_0 = NBA\omega$.

The idea. The angular speed is $\omega = 2\pi f$. The area is in m², the field in T, the frequency in Hz and the time in s.

Your tasks.

1. In peak_emf, return the peak emf in V of a coil of turns turns.
2. In emf_at, return the emf in V at the time t, counted from the moment the emf was zero and rising.
3. In first_time, return the first time in s at which a rising emf of peak e0 reaches the value e.