0.04 ay (b) H(r) = 0.05 (c) H(r) = L āz conductor (a) H(r) = 0 for 0) The long hollow cylindrical conductor shown in Figure 1, carries current I (A) out of the page, which is the a direction in the cylindrical co-ordinate system aligned with the axis of the conductor. Assume that the current density (A/m²) is uniform across the conductor cross- section. Also assume cylindrical symmetry, so that at any point rap(0) + zā sufficiently far from the ends of the conductor, the magnetic field strength due to I takes the form ♬ = H (r)ā (A/m). In Gradescope, upload no more than 1 A4 page with clearly labelled responses to the following. Using Ampère's circuit law fpath H • dl = SSsurtf J● (dSān), a constant z circular closed path of radius r (m) centred on the cylinder axis, and the open surface with an = az, show that: 7 I for 0.05 ≤r. .…...... āp(p) for 0.04 ≤r< 0.05;

0.04 ay (b) H(r) = 0.05 (c) H(r) = L āz conductor (a) H(r) = 0 for 0) The long hollow cylindrical conductor shown in Figure 1, carries current I (A) out of the page, which is the a direction in the cylindrical co-ordinate system aligned with the axis of the conductor. Assume that the current density (A/m²) is uniform across the conductor cross- section. Also assume cylindrical symmetry, so that at any point rap(0) + zā sufficiently far from the ends of the conductor, the magnetic field strength due to I takes the form ♬ = H (r)ā (A/m). In Gradescope, upload no more than 1 A4 page with clearly labelled responses to the following. Using Ampère's circuit law fpath H • dl = SSsurtf J● (dSān), a constant z circular closed path of radius r (m) centred on the cylinder axis, and the open surface with an = az, show that: 7 I for 0.05 ≤r. .…...... āp(p) for 0.04 ≤r< 0.05;

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

(a) H(r) = 0
1
(b) H(r)
=
(c) H(r) =
0.04 ay
2π 0.0009
1
I
2πr
0.05
for
Figure 1: Long hollow cylindrical conductor (length perpendicular to the page) for Q1 and Q2.
Q1 (
>) The long hollow cylindrical conductor shown in Figure 1, carries current I (A) out of
the page, which is the a direction in the cylindrical co-ordinate system aligned with the axis of
the conductor. Assume that the current density (A/m²) is uniform across the conductor cross-
section. Also assume cylindrical symmetry, so that at any point rāp(0) + zā sufficiently far from
the ends of the conductor, the magnetic field strength due to I takes the form H = H(r)āø (A/m).
In Gradescope, upload no more than 1 A4 page with clearly labelled responses to the following.
Using Ampère's circuit law path Ĥ di = SSsurf J. (dSan), a constant z circular closed path of
●
radius r (m) centred on the cylinder axis, and the open surface with an = az, show that:
āz āx
conductor
for 0 <r< 0.04;
1
0.0016) I
0.05 ≤r.
p
ao
āp(p)
for 0.04 < 0.05;

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