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Published byInge Rachman Modified over 5 years ago
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Flux Density due to a current flowing in a long straight wire
© D Hoult 2008
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The field at point p is directed
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The field at point p is directed out of the plane of the diagram (“corkscrew rule”)
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The magnitude of B at point p depends on
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The magnitude of B at point p depends on
the current, I
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The magnitude of B at point p depends on
the current, I the perpendicular distance of p from the wire
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The magnitude of B at point p depends on
the current, I the perpendicular distance of p from the wire the medium surrounding the wire
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Experiments show that B a I and if r is small compared with the length of the wire then
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Experiments show that B a I and if r is small compared with the length of the wire then 1 B a r Therefore
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Experiments show that B a I and if r is small compared with the length of the wire then 1 B a r Therefore I B = (a constant) r
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Because this is a situation having cylindrical symmetry, the factor 2p is included in the equation
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Because this is a situation having cylindrical symmetry, the factor 2p is included in the equation
2 p r
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Because this is a situation having cylindrical symmetry, the factor 2p is included in the equation
2 p r where µ is the permeability of the medium surrounding the wire
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Because this is a situation having cylindrical symmetry, the factor 2p is included in the equation
2 p r where µ is the permeability of the medium surrounding the wire If the medium is a vacuum (or air) the permeability is written as µo
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Because this is a situation having cylindrical symmetry, the factor 2p is included in the equation
2 p r where µ is the permeability of the medium surrounding the wire If the medium is a vacuum (or air) the permeability is written as µo The units of µ are
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Because this is a situation having cylindrical symmetry, the factor 2p is included in the equation
2 p r where µ is the permeability of the medium surrounding the wire If the medium is a vacuum (or air) the permeability is written as µo The units of µ are T m A-1 =
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Because this is a situation having cylindrical symmetry, the factor 2p is included in the equation
2 p r where µ is the permeability of the medium surrounding the wire If the medium is a vacuum (or air) the permeability is written as µo The units of µ are T m A-1 = NA-2
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Because this is a situation having cylindrical symmetry, the factor 2p is included in the equation
2 p r where µ is the permeability of the medium surrounding the wire If the medium is a vacuum (or air) the permeability is written as µo The units of µ are T m A-1 = NA-2 1 N A-2 = 1 Henry per meter (H m-1)
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