The current density inside a long, solid, cylindrical wire of radius a = 2.2 mm is in the direction of the central axis and its magnitudevaries linearly with radial distance r from the axis according to J= Jor/a, where Jo = 250 A/m?. Find the magnitude of the magnetic fieldat a distance (a) r=0, (b) r = 1.6 mm and (c)r=2.2 mm from the center.(a) NumberUnits(b) Numberi1.2179E-8Units(c) Numberi5.0658E-10UnitsT>

givenJ=Jo rawhereJo=250 A/m2a=2.2 mm=2.2×10-3 m

Answered: The current density inside a long,…

The current density inside a long, solid, cylindrical w varies linearly withradial distancer from the axis ac at a distance (a) r=0, (b) r = 1.6 mm and (c) r=2.2 mm

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed...

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Concept explainers

Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.

Question

The current density inside a long, solid, cylindrical wire of radius a = 2.2 mm is in the direction of the central axis and its magnitude
varies linearly with radial distance r from the axis according to J= Jor/a, where Jo = 250 A/m?. Find the magnitude of the magnetic field
at a distance (a) r=0, (b) r = 1.6 mm and (c)r=2.2 mm from the center.
(a) Number
Units
(b) Number
i
1.2179E-8
Units
(c) Number
i
5.0658E-10
Units
T
>

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