Asked in NUMS 2019 (cancelled sitting) 2019Moderate

A power line 8m high carries a current 100A. What is the magnetic field of wire at ground?

Correct answer: B. 2.5 x 10^-6 T

  • A. 0.002 T
  • B. 2.5 x 10^-6 T
  • C. 0.005 T
  • D. 4 x 10^-6 T

Explanation

The magnetic field at ground due to a current-carrying wire is given by the formula:B = μ₀I/(2πr)where μ₀ is the permeability of free space, I is the current, and r is the distance from the wire. Here, the current I = 100A and the distance from the wire r = 8m.Plugging these values into the formula, we get:B = (4π x 10^-7 Tm/A) x 100A / (2π x 8m)B = 2.5 x 10-6 TTherefore, the magnetic field at ground is 2.5 x 10-6 T.

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