High School

A small current element [tex]i \, dl[/tex], with [tex]dl = 2 \, \text{mm} \, \mathbf{k}[/tex] and [tex]i = 2.4 \, \text{A}[/tex], is centered at the origin. Find the magnetic field [tex]d\mathbf{B}[/tex] at the following points.

Answer :

Final answer:

This involves using the Biot-Savart Law to calculate the magnetic field generated by a current element at given points, which requires knowledge of cross products and magnetic field concepts in physics.

Explanation:

The calculation of the magnetic field dB at specific points due to a current element i dl using the Biot-Savart Law. To find dB, the cross product of dl and the position vector r to the point of interest and other factors like the permeability of free space must be considered. The information provided suggests that we are dealing with a magnetic field problem in which knowledge of vectors, cross products, and magnetic field equations is essential.