Consider an infinetly long hollow cylindrical wire. The wire has an outer diameter b and the clindrical hole at its center has diameter a. F

Question

Consider an infinetly long hollow cylindrical wire. The wire has an outer diameter b and the clindrical hole at its center has diameter a. Find the magnetic field everywhere if a known current i flows from left to right and the current is uniformly spread over the region between a and b.

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Sapo 4 years 2021-07-22T00:38:10+00:00 1 Answers 5 views 0

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  1. kiet
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    2021-07-22T00:39:47+00:00
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    Answer:

    B = (μ₀*i/(2*π*x))*(x²-(a/2)²)/((b/2)²-(a/2)²)

    Explanation:

    Given

    Outer diameter of the wire = b  ⇒ R = b/2

    Diameter of the clindrical hole at the center = a  ⇒ r = a/2

    The current that flows from left to right and is uniformly spread over the region between a and b = i

    We apply Ampere’s Law

    Using the following formula for  a/2 ≤ x ≤ b/2

    B = (μ₀*i/(2*π*x))*(x²-(a/2)²)/((b/2)²-(a/2)²)

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