Magnetic Field Strength versus Coil Density

[Infamous911]

Homework Statement

We did a lab where we measured the magnetic field strength of a wire coil versus the coil density of the wire coil, keeping current constant. We determined the relationship of B (magnetic field strength) versus n (coil density) to be direct. I need to explain why this is true physically (as in, beyond the formulas why does this actually happen), and I have no idea why.

Homework Equations

β=μIn

The Attempt at a Solution

I have no idea at all and need help!

 

[BvU]

Just like electric fields, magnetic fields from different sources add up. So two loops "produce" two times what one loop "produces".