Net magnetic field around a wire with uniform external magnetic field

0:00 Introduction
1:06 Net magnetic field at point a
6:35 Net magnetic field at point c
9:06 Net magnetic field at point b

[@epaabebo7651]

Thank you so much professor

[@epaabebo7651]

This is extremely and super great problem

[@epaabebo7651]

I have a question professor why did you use absolute value for point c which has magnetic field vector points at the positive x direction compare to point a which is parallel to the x-axis in the negative x direction

[@let_s_do_physics]

Good question. The magnitude formula calls for the distance, which is positive. When we calculate the magnitude, we keep everything positive. We determine the direction of each vector separately, using the right hand rule.