Magnetic Field of a Loop: Difference between revisions

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Claimed by Jeffrey Mullavey
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>\vec B=\frac{mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^(3/2)}\
where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis. 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
[[Category:Fields]]

Revision as of 14:09, 29 November 2015

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>\vec B=\frac{mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^(3/2)}\

where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis. 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