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

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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.
Expert Solution
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 , 1x2 , 3z5

 

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 3y5

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