Magnetic field of the solenoid can be represented by the voltage

[cutesoqq]

According to which law the magnetic field of the solenoid can be represented by the voltage induced in the search coil ?

 

[Sirus]

Here's a formula that's use to find the field inside a current-carrying coil (should work for this too):

B=\frac{\mu_{0}I}{2\pi{r}}

And as you probably know:

I=\frac{V}{R}

Now just substitute (you do need to know the resistance inside the loop, though). I think this is what you are looking for.