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Three distinct current carrying wires in...

Three distinct current carrying wires intersect a finite rectangular plane ABCD. The current in left wire and the loop is `I_1`. The direction of current in left most wire and right most loop is downwards as shown in figure. The current `I_2` through middle wire is adjusted so that the path integral of the total magnetic field along the perimeter of the rectangle is zero, that is, `oint_(ABCDA) vec B. vec (dl) = 0`. Then the current `I_2` is-

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