Chapter 8: Problem 8
Two conducting strips, having infinite length in the \(z\) direction, lie in the
\(x z\) plane. One occupies the region \(d / 2
Chapter 8: Problem 8
Two conducting strips, having infinite length in the \(z\) direction, lie in the
\(x z\) plane. One occupies the region \(d / 2
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Get started for freeCalculate values for \(H_{\phi}, B_{\phi}\), and \(M_{\phi}\) at \(\rho=c\) for a coaxial cable with \(a=2.5 \mathrm{~mm}\) and \(b=6 \mathrm{~mm}\) if it carries a current \(I=12 \mathrm{~A}\) in the center conductor, and \(\mu=3 \mu \mathrm{H} / \mathrm{m}\) for \(2.5 \mathrm{~mm}<\rho<3.5 \mathrm{~mm}, \mu=5 \mu \mathrm{H} / \mathrm{m}\) for \(3.5 \mathrm{~mm}<\rho<4.5 \mathrm{~mm}\), and \(\mu=10 \mu \mathrm{H} / \mathrm{m}\) for \(4.5 \mathrm{~mm}<\rho<6 \mathrm{~mm}\). Use \(c=:(a) 3 \mathrm{~mm} ;(b) 4 \mathrm{~mm} ;(c) 5 \mathrm{~mm} .\)
A rectangular core has fixed permeability \(\mu_{r}>>1\), a square cross section
of dimensions \(a \times a\), and has centerline dimensions around its perimeter
of \(b\) and \(d\). Coils 1 and 2 , having turn numbers \(N_{1}\) and \(N_{2}\), are
wound on the core. Consider a selected core cross-sectional plane as lying
within the \(x y\) plane, such that the surface is defined by \(0
A coaxial cable has conductor radii \(a\) and \(b\), where \(a
Let \(\mu_{r 1}=2\) in region 1, defined by \(2 x+3 y-4 z>1\), while \(\mu_{r 2}=5\) in region 2 where \(2 x+3 y-4 z<1\). In region 1, \(\mathbf{H}_{1}=50 \mathbf{a}_{x}-30 \mathbf{a}_{y}+\) \(20 \mathbf{a}_{z} \mathrm{~A} / \mathrm{m} .\) Find \((a) \mathbf{H}_{N 1} ;(b) \mathbf{H}_{t 1} ;(c) \mathbf{H}_{22} ;(d) \mathbf{H}_{N 2} ;(e) \theta_{1}\), the angle between \(\mathbf{H}_{1}\) and \(\mathbf{a}_{N 21} ;(f) \theta_{2}\), the angle between \(\mathbf{H}_{2}\) and \(\mathbf{a}_{N 21}\).
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