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FORCE AND ITS DIRECTION OF A CURRENT CARRYING CONDUCTOR LYING IN A MAGNETIC FIELD:
We know that when current flows through a current carrying conductor, it generates a magnetic field surrounding it. In same way when we place a current carrying conductor inside a magnetic field, it experiences a force. This force is perpendicular of both to the direction of current and the field by nature.
As force, F = BIL Newton. Where B= Flux density,
I= Current,
L= Length of the conductor.
Or, F = µ0µrHIL Newton. As B=µ0µrH.
Now, what is direction of force?
The direction of force can easily be found by Fleming’s left hand rule.
To understand Fleming’s left hand rule, first hold your left hand as- forefinger, second finger and thumb creates 90° angle with each other. Now if forefinger indicates the direction of magnetic field, second finger indicates the direction of current, Thumb gives the direction of force.

Flat left hand rule:
This is another method of finding the direction of force acting on a current carrying conductor. If we extend the left hand fingers and extend the thumb at 90° angle with each other, make the fingers flat to the direction of lines of flux, the thumb indicates the direction of force.