In the figure shown, consider a long hollow cylindrical metal pipe of inner radius a and outer adius b in which flows a current I uniformly distributed over the cross section of the conductor. P F I In order to calculate the magnetic field at a point Pa distance R from the axis, where a < r < b i.e., P is within the metal, we carry out a line integral along a path which encloses all the current in the conductor. we evaluate a line integral along a path that passes through the point P.

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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In the figure shown, consider a long hollow
cylindrical metal pipe of inner radius a and outer
radius b in which flows a current I uniformly
distributed over the cross section of the conductor.
I
In order to calculate the magnetic field at a point P a
distance R from the axis, where a < r < b i.e., P is
within the metal,
we carry out a line integral along a path which
encloses all the current in the conductor.
we evaluate a line integral along a path that passes
through the point P.
we evaluate Bd, where di is directed
along the direction of current flow.
it would be easiest to use the Biot Savart Law.
Transcribed Image Text:In the figure shown, consider a long hollow cylindrical metal pipe of inner radius a and outer radius b in which flows a current I uniformly distributed over the cross section of the conductor. I In order to calculate the magnetic field at a point P a distance R from the axis, where a < r < b i.e., P is within the metal, we carry out a line integral along a path which encloses all the current in the conductor. we evaluate a line integral along a path that passes through the point P. we evaluate Bd, where di is directed along the direction of current flow. it would be easiest to use the Biot Savart Law.
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