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Concepts Of Physics MCQ Edition [Volume 2]PhysicsMagnetic Field due to a Current

A square loop PQRS carrying a current of 6.0 A is positioned near a long wire carrying 10 A such that sides SP and RQ are parallel to the wire. Which of the following statements correctly describes the magnetic forces acting on the segments PQ and RS ?

Options

  1. AThe force on PQ is greater in magnitude than the force on RS .
  2. BThe force on RS is greater in magnitude than the force on PQ .
  3. CThey are equal in magnitude and opposite in direction.
  4. DThey are equal in magnitude and point in the same direction.

Correct answer

C. They are equal in magnitude and opposite in direction.

Step-by-step solution

Let the long straight wire lie along the y-axis, carrying current I₁ = 10 A in the +y direction. The magnetic field B produced by this wire at a perpendicular distance x is directed into the plane of the paper ( -z direction). Its magnitude is given by B = ₀ I₁ 2 x . For the segment PQ , the current I₂ = 6.0 A flows away from the wire (in the +x direction). The magnetic force on a small element dx is: d F _ PQ = I₂ (dx , i ) (-B , k ) = I₂ B dx , j The total force on PQ is directed upwards ( +y direction) and its m

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