Magnetic Field Strength versus Coil Density

AI Thread Summary
The discussion centers on the relationship between magnetic field strength (B) and coil density (n) in a wire coil with constant current. It is established that B is directly proportional to n, meaning that increasing the number of loops in the coil enhances the magnetic field strength. This occurs because each loop of wire contributes to the overall magnetic field, effectively summing the contributions from each loop. The underlying physical principle is that magnetic fields from multiple loops combine, leading to a stronger field. Understanding this relationship is crucial for applications in electromagnetism and coil design.
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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!
 
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Just like electric fields, magnetic fields from different sources add up. So two loops "produce" two times what one loop "produces".
 
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