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1. Two long solenoids are placed on the same axis as shown in the figure. The inner solenoid has radius R₁ with ni turns per unit length. The outer solenoid has radius R2 with n2 turns per unit length. each solenoid carries the same current I flowing (in each turn) but in opposite direction. Use Ampere's law to find the direction and magnitude of the magnetic field in the following regions : a) b) c) 0

1. Two long solenoids are placed on the same axis as shown in the figure. The inner solenoid has radius R₁ with ni turns per unit length. The outer solenoid has radius R2 with n2 turns per unit length. each solenoid carries the same current I flowing (in each turn) but in opposite direction. Use Ampere's law to find the direction and magnitude of the magnetic field in the following regions : a) b) c) 0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Chapter 8 1. Two long solenoids are placed on the same axis as shown in the figure. The inner solenoid has radius R₁ with ni turns per unit length. The outer solenoid has radius R₂ with n2 turns per unit length. each solenoid carries the same current I flowing (in each turn) but in opposite direction. Use Ampere's law to find the direction and magnitude of the magnetic field in the following regions : a) b) c) 0<r < R R<r<R₂ R₂ <r 60000 2. The figure here depicts a long solenoid that contains two different magnetic materials. The materials on the left and right sides of the solenoid have permeabilities and ₂, respectively, and each has the same radius as the solenoid. Find the surface current densities (Jis and J2s) on each side of the solenoid that generate a uniform, axially directed B-field throughout the inside of the solenoid and no field outside. J2s = √₂sâb J₁s = J₁s⢠2006
Transcribed Image Text:Chapter 8 1. Two long solenoids are placed on the same axis as shown in the figure. The inner solenoid has radius R₁ with ni turns per unit length. The outer solenoid has radius R₂ with n2 turns per unit length. each solenoid carries the same current I flowing (in each turn) but in opposite direction. Use Ampere's law to find the direction and magnitude of the magnetic field in the following regions : a) b) c) 0<r < R R<r<R₂ R₂ <r 60000 2. The figure here depicts a long solenoid that contains two different magnetic materials. The materials on the left and right sides of the solenoid have permeabilities and ₂, respectively, and each has the same radius as the solenoid. Find the surface current densities (Jis and J2s) on each side of the solenoid that generate a uniform, axially directed B-field throughout the inside of the solenoid and no field outside. J2s = √₂sâb J₁s = J₁s⢠2006
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