A horizontal overhead power line is at a height of 4 m from the ground and carries a current of 100 A from east to west. The magnetic field directly below it on the ground is μ 0 = 4 π × 10 - 7 H m - 1

Question

A horizontal overhead power line is at a height of 4 m from the ground and carries a current of 100 A from east to west. The magnetic field directly below it on the ground is μ 0 = 4 π × 10 - 7 H m - 1, 2 . 5 × 1 0 - 7 T northward, 5.0 × 1 0 - 7 T southward, 5 . 0 × 1 0 - 7 T northward, 5 . 0 × 1 0 -6 T southward

MARKS App · Accepted Answer

By Ampere's theorem, B → · 2 πd ⁡ = μ 0 i ⁡ B → = μ 0 i ⁡ 2 πd ⁡ = 4 π × 10 - 7 × 100 A 2 π × 4 m = 50 × 10 - 7 T ⇒ B = 5 × 1 0 - 6 T southwards.

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