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An overhead transmission line is 6.2 m above the ground. The magnetic field due to the transmission line at a point on the ground directly underneath the transmission line is 0.27 Gauss, determine the current in the wire. (include units with answer)

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cjrodriguez89

Answer:

I = 837 A

Explanation:

  • The magnetic field due to the current flowing along a very long wire, at a distance r from the center of the wire, can be written as follows:

       [tex]B= \frac{\mu_{0}*I}{2*\pi*r}[/tex]

  • where μ₀ = 4*π*10⁻⁷ N/A², B = 0.27 G = 0.27*10⁻⁴ T, r = 6.2 m
  • We can solve for the current I, as follows:

        [tex]I = \frac{2*\pi*r*B}{\mu_{0}} = \frac{B*r}{2e-7} =\\ I = \frac{0.27e-4T*6.2m}{(2e-7)N/A2} = 837 A[/tex]

  • The current flowing through the wire is 837 A.

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