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# Ranking the locations in order of strength of a magnetic field

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An infinitesimal current element located at the origin (x = 0, y = 0, z = 0) carries current (I) in the negative z-direction.

Rank the following locations in order of the strength of the magnetic field that the current element produces at that location, from largest to smallest value

1. x = 0 , y = 0, z = L
2. x = L, y = 0, z = 0
3. x = 0, y = L, z = 0
4. x = 0, y = L, z = L
5. x = L, y = 0, z = L
6. x = L, y = L, z = 0

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https://brainmass.com/physics/electric-magnetic-fields/ranking-locations-order-strength-magnetic-field-392230

#### Solution Preview

The largest magnetic field is at 2. x = L, y = 0, z = 0, 3. x = 0, y = L, z = 0, because these are the closest point to the current in the plane perpendicular to it's direction. The smallest is at 1. x = 0 , y = 0, z = L, ...

#### Solution Summary

This solution provides a detailed explanation of how to rank the given magnetic field.

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