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NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2010 · Physics · Magnetic Effects of Current

A square current carrying loop is suspended in a uniform magnetic...

A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is F⃗\vec{F}, the net force on the remaining three arms of the loop isA square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force

Options

  1. A3F→3 \overrightarrow{\mathrm{F}}
  2. B−F→-\overrightarrow{\mathrm{F}}
  3. C−3F⃗-3 \vec{F}
  4. DF⃗\vec{F}

Correct answer

B. −F→-\overrightarrow{\mathrm{F}}

Step-by-step solution

When a current carrying loop is placed in a magnetic field, the coil experiences a torque given by τ=NBiAsin⁡θ\tau=\mathrm{NBiA} \sin \theta. Torque is maximum when θ=90∘\theta=90^{\circ}, i. e., the plane of the coil is parallel to the field τmax⁡=NBiA\tau_{\max }=\mathrm{NBiA} A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force
Forces F→1\overrightarrow{\mathrm{F}}_1 and F→2\overrightarrow{\mathrm{F}}_2 acting on the coil are equal in magnitude and opposite in direction. As the forces F⃗1\vec{F}_1 and F⃗2\vec{F}_2 have the same line of action, their resultant effect on the coil is zero. The two forces F→3\overrightarrow{\mathrm{F}}_3 and F→4\overrightarrow{\mathrm{F}}_4 are equal in magnitude and opposite in direction. As the two forces have different lines of action, they constitute a torque. Thus, if the force on one arc of the loop is F→\overrightarrow{\mathrm{F}}, the net force on the remaining three arms of the loop is −F-F.
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