Verified Solution • 2025–26 Session moderate

QNEET-2016-Ph-1077: NEET 2016 Physics - Class 12 NEET-2016-Ph-1077 Solution: A square loop ABCD carrying a current i is placed near and…

A square loop ABCD carrying a current i is placed near and coplanar with a long straight conductor XY carrying a current I the net force on the loop will be 2μ0liL3π\frac{2\mu_0 liL}{3\pi} μ0liL2π\frac{\mu_0 liL}{2\pi} 2μ0li3π\frac{2\mu_0 li}{3\pi} μ0li2π\frac{\mu_0 li}{2\pi}

Multiple Choice Options

  • A 2μ0liL3π{{2{\mu _0}liL} \over {3\pi }} 3 � 2 _ 0 _ l i L _
  • B μ0liL2π{{{\mu _0}liL} \over {2\pi }} 2 � _ 0 _ l i L _
  • C 2μ0li3π{{2{\mu _0}li} \over {3\pi }} 3 � 2 _ 0 _ l i _
  • D μ0li2π{{{\mu _0}li} \over {2\pi }} 2 � _ 0 _ l i _

Step-by-Step Verified Solution

Force on arm AB due to current in conductor XY is F 1 = _ 0 4 � 2 I i L ( L / 2 ) = _ 0 I i � acting towards XY in the plane of loop. Force on arm CD due to current in conductor XY is F 2 = _ 0 4 � 2 I i L 3 ( L / 2 ) = _ 0 I i 3 � acting away from XY in the plane of loop. _ Net force on the loop = F 1 � F 2 = _ 0 I i 3 � [ 1 _ 1 3 ] = 2 3 _ 0 I i �

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