Relationship between magnetic field strength and voltage

[Daisy]

So I'm really confused with the relationship between magnetic field strength and voltage. Say you have a battery (with a DC voltage) with 4 coils, when voltage increases, does magnetic field strength increase? Is there any law (i.e. Faraday's law) that supports this?

 

[Drakkith]

I believe the magnetic field strength depends on the amount of current flow, not voltage.

http://en.wikipedia.org/wiki/Ampère's_circuital_law

 

[Blibbler]

The magnetic field strength is given by B=nIl where B is the magnetic field, n is the number of turns per metre of the wire of length l metres that makes up the coil and I is the current flowing through the coil.

The current flowing through the coil is given by Ohm's Law I=V/R where V is the potential difference in volts between the ends of the wire of the coil and R is the resistance of the coil.

So yes, if all else stays the same, increasing the voltage will increase the current which will increase the magnetic field.