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NEET PHYSICSMOVING CHARGES AND MAGNETISMEasy

Question

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 F\vec{F}, the net force on the remaining three arms of the loop is

A

3\vec{F}

B

-\vec{F}

C

-3\vec{F}

D

\vec{F}

Step-by-Step Solution

  1. Net Force Principle: The net magnetic force on any closed current-carrying loop placed in a uniform magnetic field is zero. This is because the vector sum of the displacement vectors (dl\oint d\vec{l}) for a closed loop is zero, and Fnet=I(dl)×B=0\vec{F}_{net} = I(\oint d\vec{l}) \times \vec{B} = 0 .
  2. Application: For a square loop with four arms, the total force is the sum of the forces on individual arms: Fnet=Farm1+Fremaining=0\vec{F}_{net} = \vec{F}_{arm1} + \vec{F}_{remaining} = 0.
  3. Calculation: Given that the force on one arm is Farm1=F\vec{F}_{arm1} = \vec{F}, we can substitute this into the equilibrium equation: F+Fremaining=0Fremaining=F\vec{F} + \vec{F}_{remaining} = 0 \Rightarrow \vec{F}_{remaining} = -\vec{F}

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from MOVING CHARGES AND MAGNETISM. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSMOVING CHARGES AND MAGNETISMsquarecurrentcarryingsuspendeduniform

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