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A current carriyng straight conductor OA lies along x-axis. In that region a magnetic field of induction B exists whose direction is inward and magnitude of ‘B’ increases as we are moving along positive x-axis. If C be the mid point of the rod OA, then select the correct option.

a
The resultant force acts at point C.
b
The resultant force acts at a point which lies between C and A
c
The resultant force acts at a point which lies between C and O.
d
None of the above is correct

detailed solution

Correct option is B

If we consider a small element ∆l of the rod, then magnetic force acting on the element is ∆F=i.∆l.B. Where B is the magnetic induction at the location of ∆l. If B is uniform , the resultant force acts at C. Since B is increasing as we are moving along positive x-axis the line of action of resultant  force shifts to the right. Hence option -(2) is correct.

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