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
- AThe force on PQ is greater in magnitude than the force on RS .
- BThe force on RS is greater in magnitude than the force on PQ .
- CThey are equal in magnitude and opposite in direction.
- 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