Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in Figure 4. The non-uniform current density J is out of the page and varies with distance r from the center as J = Jo rk where J, is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop. P
Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in Figure 4. The non-uniform current density J is out of the page and varies with distance r from the center as J = Jo rk where J, is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop. P
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Transcribed Image Text:Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown
in Figure 4. The non-uniform current density J is out of the page and varies with distance r from
the center as
J = Jork
where J, 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
Figure 4: A cross-sectional view of an infinitely long cylinder used in question A6
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