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JEE Main20253 Apr 2025Morning ShiftPhysicsMagnetic Effects of CurrentActual

A loop ABCDA , carrying current I =12 ~A , is placed in a plane, consists of two semi-circular segments of radius R₁=6 ~m and R ₂=4 ~m . The magnitude of the resultant magnetic field at center O is k 10⁻⁷ ~T . The value of k is ______ (Given ₀=4 10⁻⁷ Tm A ⁻¹ )

Correct answer

0

Step-by-step solution

Magnetic field due to AB & CD =0 aligned & B ₀= | B _ R ₁ - B _ R ₂ | & = ₀ I 4 R ₂ - ₀ I 4 R ₁ & = 4 10⁻⁷ 12 4 ( 1 4 - 1 6 ) & =12 10⁻⁷ ( 1 12 ) & =1 10⁻⁷ aligned K=1

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