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The magnetic field intensity is given in a certain region of space as H=[(x+2y)/z²]a, +(2/z)a. A/m. (a ) Find VxH. (b ) Find J. (c ) Use J to find he total current passing through the surface z = 4,1

The magnetic field intensity is given in a certain region of space as H=[(x+2y)/z²]a, +(2/z)a. A/m. (a ) Find VxH. (b ) Find J. (c ) Use J to find he total current passing through the surface z = 4,1

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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The magnetic field intensity is given in a certain region of space as H= [(x+2y)/z* ]a, +(2/z)a, A/m. (a) Find VxH. (b) Find J. (c) Use J to find the total current passing through the surface z = 4,1<xs2,3< z3 5, in the a. direction. (d) Show that the same result is obtained using the other side of Stokes' theorem.
Transcribed Image Text:The magnetic field intensity is given in a certain region of space as H= [(x+2y)/z* ]a, +(2/z)a, A/m. (a) Find VxH. (b) Find J. (c) Use J to find the total current passing through the surface z = 4,1<xs2,3< z3 5, in the a. direction. (d) Show that the same result is obtained using the other side of Stokes' theorem.
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Step 1

The magnetic field intensity is given in a certain region of space as: H=x+2yz2a^y+2za^z  A/m.

a) We need to find ∇×H

b) We need to find J.

c) We need to find the total current through the surface z=4,1 , 1≤x≤2 , 3≤z≤5

 

Since z=4 given so z cannot vary , so rectifying it y should 

vary from 3 to 5 as the limit of x is also given.

Taking 3≤y≤5

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