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Three distinct current wires intersect a...

Three distinct current wires intersect a finite rectangular plane ABCD. The current is left wire and the loop is `l_(1)` . The direction of current in left most wire and righy most loop is downards as shown in the figure. The current `l_(2)`through middle wire is adjusted so that the path integal of the total magnetic field along the perimeter of the rectangle is zero , that is ,`underset(ABCDA)ointvecB.dvecs=0` then the current `I_(2)` is

A

`2l_(1)` and upwards

B

`2l_(1)` and downwards

C

`4l_(1)` and upwords

D

`3l_(1)` and downwards

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • 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-

    A
    `2I_(1)` and upwards
    B
    `2I_(1)` and downwards
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    `4I_(1)` and upwards
    D
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    `rarr`
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  • A wire is placed between the poles of twofixed bar magnets as shown in the figure. A small current in the wire is into the plane of the paper. The direction of the magnetic force on the wire is

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