Chapter 5, Problem 34P

In Fig. P5.34, the plane defined by x − y = 1 separates medium 1 of permeability μ₁ from medium 2 of permeability μ₂. If no surface current exists on the boundary and

$B_{\text{1}}=\hat{x}2+\hat{y}3(\text{T})$,

find B₂ and then evaluate your result for μ₁ = 5μ₂. Hint: Start by deriving the equation for the unit vector normal to the given plane.

Figure P5.34 Magnetic media separated by the plane x−y = 1 (Problem 5.34).