Magnetic field inside wire

Magnetic field inside wire - I ± B d ± ² = B(2 πr •...

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Ampère’s Law: Magnetic Field Inside a Wire Consider a long, straight wire of radius R . The current is I distributed uniformly over the cross section. Apply Ampère’s law, I ± B · d ± ² = μ 0 I C , to the circular loop of radius r < R . The symmetry dictates that the magnetic Feld ± B is directed tangentially with magnitude B depending on R only. Line integral:
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Unformatted text preview: I ± B · d ± ² = B (2 πr ) . • ±raction of current inside loop: I C I = πr 2 πR 2 . • Magnetic Feld at radius r < R : B = μ I C 2 πr = μ Ir 2 πR 2 . • B increases linearly with r from zero at the center. • Magnetic Feld at the perimeter: B = μ I 2 πR . tsl243 – p.1/1...
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