Physics · Magnetism
A solid cylindrical wire of radius R carries a total current I. The current density is non-uniform and varies with radius as J(r) = αr2, where α is a constant. The magnetic-field magnitude B at a point inside the wire (r < R) is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1B = μ0I / (2πr)
- 2B = μ0αr3 / 2
- 3B = μ0αr2 / 2
- 4B = μ0αr3 / 4✓
Correct answer
B = μ0αr3 / 4
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