Magnetic Field of a Loop

Claimed by Jeffrey Mullavey

Creation of a Magnetic Loop

Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.

Calculation of Magnetic Field

The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the "z-axis." The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.

Magnitude of Magnetic Field on z-axis

When calculating the magnetic field at a point on the z-axis, one can use the following formula:

[math]\displaystyle{ \vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^1.5} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop} }[/math]

. This allows for the calculation of the magnitude in the unit, Teslas.

Magnitude of Magnetic Field on z-axis

blah blah blah direction.

References

Matter and Interactions Vol. II