Wednesday, 10 September 2014

electromagnetism - Why does a magnetic field go anticlockwise of the direction of current?


Why never clockwise? How does it 'know' to go anticlockwise?



Answer




The direction of the magnetic field is defined in terms of its effect on a current (or moving charge). Specifically, the magnetic field points in a direction such that the force on a current will be in the $\vec{I}\times\vec{B}$ direction. (That's just a convention; there's no fundamental reason you must define the magnetic field direction that way.)


Meanwhile, parallel currents are observed to attract each other, so we know one current is producing a magnetic field and the other is experiencing it. If you work out which direction the magnetic field around the first current must point in order for $\vec{I}_2\times\vec{B}$ to point towards the first current, it's in the right-hand sense (or anticlockwise around the first current if the current is pointing towards you).


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