A 10m wire that carries a current of 3A from east to west is placed in a magnetic field of 0.0004T running from south to north. Find the size and direction of the magnetic force on the wire.
**how do we find this? :/ Thanks!!:)
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the situation described into your problem is:
since magnetic field and current are perpendicular each other, then the magnitude of the magnetic force is:
\[\Large F = ILB\]
where L = 10 meters
yes! correct the unit of measure is Newtons, so we have:
F= 0.012 Newtons
is that the size of the force? :/
now the direction is given by the rule of product vector, so the orientation of the magnetic force is like below:
namely the vector F is perpendicular to both current and magnetic field, and it is oriented inward of the drawing plane
ok! so it is going south?
no, it is going inward of the drawing plane, here is a 3-D view:
ohh so it is going northeast?
no, that is a 3-D view not a 2-D view
ohh i am confused then haha what direction is that ? :/
it is perpendicular with respect to North-South direction and it also is perpendicular with respect to West-East direction
ohh okay :/ wow confusing hahah :P thank you!! so this problem is complete?