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.

 

[Graeme Robinson]

The relationship between the magnetic field of a solenoid and the voltage induced in a search coil is governed by Faraday's Law of Induction. This law states that a changing magnetic field will induce an electromotive force (EMF) or voltage in a nearby conductor. In the case of a solenoid, the changing magnetic field is created by the flow of current through the coils, and this induces a voltage in the search coil. Therefore, the magnetic field of a solenoid can be represented by the voltage induced in the search coil, as described by Faraday's Law.