Magnetic Field of a Loop: Difference between revisions
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<math>\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> | <math>\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 units of Teslas. | |||
===Magnitude of Magnetic Field on z-axis=== | ===Magnitude of Magnetic Field on z-axis=== | ||
Revision as of 13:40, 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]\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 units of Teslas.
Magnitude of Magnetic Field on z-axis
blah blah blah direction.
References
Matter and Interactions Vol. II