A horizontal overhead powerline at a height of 5 m from the ground and carries a current of 150 A from East to West. The magnetic field directly below it on ground is

Question

A horizontal overhead powerline at a height of 5 m from the ground and carries a current of 150 A from East to West. The magnetic field directly below it on ground is (A) 6 × 10-6 T towards South (B) 6 × 10-6 T towards West (C) 7 × 10-6 T towards East (D) 8 × 10-7 T towards North

Tardigrade Admin · Accepted Answer

Magnetic field below the wire on the ground is given as

B = \frac{μ _{0}}{2 π} \cdot \frac{I}{r}

= 2 \times 1 0^{- 7} \times \frac{150}{5}

[∵ μ_{0} = 4 π \times 1 0^{- 7} T m A^{- 1}]

= 6 \times 1 0^{- 6} T

(toward South)

Q. A horizontal overhead powerline at a height of $5 m$ from the ground and carries a current of $150 A$ from East to West. The magnetic field directly below it on ground is

$6 \times 1 0^{- 6} T$ towards South

$6 \times 1 0^{- 6} T$ towards West

$7 \times 1 0^{- 6} T$ towards East

$8 \times 1 0^{- 7} T$ towards North

Magnetic field below the wire on the ground is given as

$B = \frac{μ _{0}}{2 π} \cdot \frac{I}{r}$
$= 2 \times 1 0^{- 7} \times \frac{150}{5}$
$[∵ μ_{0} = 4 π \times 1 0^{- 7} T m A^{- 1}]$
$= 6 \times 1 0^{- 6} T$ (toward South)

Q. A horizontal overhead powerline at a height of 5m from the ground and carries a current of 150A from East to West. The magnetic field directly below it on ground is

6×10−6T towards South

6×10−6T towards West

7×10−6T towards East

8×10−7T towards North