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Q.

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.

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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

answer is B.

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Detailed Solution

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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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