a-current-i0-flows-uniformly-through-the-cross-sectional-area-of-a-long-hollow-c

Question

A current I ₀ flows uniformly through the cross-sectional area of an extended horizontal hollow cylindrical conductor with an inner radius R _a and an outer radius R _b. A point P is located at a distance r from the central axis and in a plane perpendicular to it. Determine the expression for the magnetic field for i) r < R _a, ii) R _a < r < R _b, and iii) r > R _b.

Accepted Answer

i) B= 0

ii) B = (μ₀ / (2πr)) ×(I₀ × ((r² - R_A²) / (R_B² - R_A²)))

iii) B = (μ₀I₀ / (2πr))

Answer

i) B = (μ₀I₀ / (2πr))

ii) B = (μ₀ / (2πr)) ×(I₀ × ((r² - R_A²) / (R_B² - R_A²)))

iii) B = 0

Answer

i) B = (μ₀I₀ / (2πr))

ii) B = (μ₀I₀ / (2πr)) ×(I₀ × ((r² - R_A²) / (R_B - R_A)))

iii) B = 0

Answer

i)B= 0

ii) B = (μ₀ / (2πr)) ×(I₀ / ((r² - R_A²) × (R_B - R_A)))

iii) B = (μ₀I₀ / (2πr))

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