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Consider two perfectly-conducting concentric thin cylindrical shells of infinite length with axes along the z-axis and radii a and b (a < b). Current I flow the positive z-direction in each shell. Using the expression for the current density, calculate the magnetic field in the three regions: (i) p b, where p = √√x² + y² . Sketch the result for the magnetic field as a function of the radial distance (p).

Consider two perfectly-conducting concentric thin cylindrical shells of infinite length with axes along the z-axis and radii a and b (a < b). Current I flow the positive z-direction in each shell. Using the expression for the current density, calculate the magnetic field in the three regions: (i) p b, where p = √√x² + y² . Sketch the result for the magnetic field as a function of the radial distance (p).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Consider two perfectly-conducting concentric thin cylindrical shells of infinite length with axes along the z-axis and radii a and b (a < b). Current I flow the positive z-direction in each shell. Using the expression for the current density, calculate the magnetic field in the three regions: (i) p < a, (ii) a <p < b and (iii) p > b, where p = √√x² + y² . Sketch the result for the magnetic field as a function of the radial distance (p).
Transcribed Image Text:Consider two perfectly-conducting concentric thin cylindrical shells of infinite length with axes along the z-axis and radii a and b (a < b). Current I flow the positive z-direction in each shell. Using the expression for the current density, calculate the magnetic field in the three regions: (i) p < a, (ii) a <p < b and (iii) p > b, where p = √√x² + y² . Sketch the result for the magnetic field as a function of the radial distance (p).
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