I How to determine the sign of an angle in Bio Savar's law?

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Bio Savar's law is utilized to calculate the intensity of the magnetic induction vector, with R representing the distance from the wire to the point of interest. The discussion seeks clarity on determining the sign of angles in this context, specifically identifying which angles are considered positive or negative. Participants are encouraged to explain their calculations and the sources of their formulas. A general rule for angle signs in magnetic fields is requested. Understanding these aspects is essential for accurate application of Bio Savar's law.
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Hello everyone. I use Bio Savar's law to determine the intensity of the magnetic induction vector.

I use this formula
formula.PNG

R is distance of wire from point in which I calculate intensity of the magnetic induction.

How can I known which angle is positive and which angle is negative from this two angles.Which is a general rule?
 
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Please explain what you are trying to calculate. Where did you get that formula?
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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