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Solved Problems-12

Problem-12
Given that Description: Description: 105028.png A/m in region y - x - 2 ≤ 0 where μ1 = 5μ0, calculate
(a) Description: Description: 105021.png and Description: Description: 105012.png
(b) Description: Description: 105002.png and Description: Description: 104993.png in region y - x - 2 ≥ 0 where μ2 = 2 μ0
Solution
y - x ≤ 2 or, y ≤ (x + 2) is in the region 1. Let the surface of the plane be described by f(x, y) = (y - x - 2); the unit vector normal to the plane is given as,
 
Description: Description: 104985.png
(a) Magnetisation vector is,
Description: Description: 104975.png
 
(b) In the region 1, normal component of the field is,
Description: Description: 104968.png

Tangential component is,
Description: Description: 104960.png
 
Applying boundary conditions,
Description: Description: 104953.png
And, Description: Description: 159503.png
Description: Description: 104937.png
Description: Description: 104930.png
 





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