Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in the image. The non-uniform current density J is out of the page and varies with distance r from the center as J = J0 r  (ˆk) where J0 is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop.

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Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in the image. The non-uniform current density J is out of the page and varies with distance r from the center as

J = J0 r  (ˆk)

where J0 is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop.

P
| 2R
3R
R
A cross-sectional view of an infinitely long cylinder
Transcribed Image Text:P | 2R 3R R A cross-sectional view of an infinitely long cylinder
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