In type of current carrying conductor in a magnetic field force experienced by its small length element is 
= current element 
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Total magnetic force 
If magnetic field is linear i.e, B = constant
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vector sum of all the length elements from initial to final point. Which is in accordance with the law of vector addition is equal to length vector L joining initial to final point.
(1) Direction of force : The direction of force is always perpendicular to the plane containing idl and B and is same as that of cross-product of two vectors (A*B) with A=idl.
The direction of force when current element idl and B are perpendicular to each other can also be determined by applying either of the following rules
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Fleming's left-hand rule
Stretch the fore-finger, central finger and thumb left hand mutually perpendicular. Then if the fore-finger denotes in the direction of field B and the central in the direction of current i, the thumb will show in the direction of force
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Right-hand palm rule
Stretch the fingers and thumb of right hand at right angles to one another. Then if the fingers denotes in the direction of field B and thumb in the direction of current i, then normal to the palm will point in the direction of force
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If a current took straight conductor is placed in an uniform magnetic field (B) such that it makes an angle q with the direction of field then force experienced by it is
If θ = 0o,F=0
If θ = 90o,Fmax=Bi
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The force acting on a curved wire joining points a and b as shown in the figure is the same as that on a straight wire joining these positions. It is provided by the expression
When two long straight conductors carrying currents and placed parallel to each other at a distance 'a' from one another. A mutual force operate between them when is given as 
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Where l is the size of that portion of the conductor on which force is to be calculated.
Hence force per unit length 
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Direction of force : If conductors carries current in same direction, then force between them will be attractive. If conductor carries current in reverse direction, then force between them will be repulsive.
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