Chapter 8: Problem 26
A long solenoid has a radius of \(3 \mathrm{~cm}, 5000\) turns \(/ \mathrm{m}\), and carries current \(I=0.25 \mathrm{~A} .\) The region \(0<\rho
Chapter 8: Problem 26
A long solenoid has a radius of \(3 \mathrm{~cm}, 5000\) turns \(/ \mathrm{m}\), and carries current \(I=0.25 \mathrm{~A} .\) The region \(0<\rho
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Get started for freeA toroid is constructed of a magnetic material having a cross-sectional area of \(2.5 \mathrm{~cm}^{2}\) and an effective length of \(8 \mathrm{~cm}\). There is also a short air gap of \(0.25 \mathrm{~mm}\) length and an effective area of \(2.8 \mathrm{~cm}^{2}\). An mmf of \(200 \mathrm{~A} \cdot \mathrm{t}\) is applied to the magnetic circuit. Calculate the total flux in the toroid if the magnetic material: \((a)\) is assumed to have infinite permeability; \((b)\) is assumed to be linear with \(\mu_{r}=1000 ;(c)\) is silicon steel.
Show that the differential work in moving a current element \(I d \mathbf{L}\) through a distance \(d \mathbf{l}\) in a magetic field \(\mathbf{B}\) is the negative of that done in moving the element \(I d \mathbf{l}\) through a distance \(d \mathbf{L}\) in the same field.
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 \(\mathbf{a}_{N 21}\).
Two conducting strips, having infinite length in the \(z\) direction, lie in the
\(x z\) plane. One occupies the region \(d / 2
Conducting planes in air at \(z=0\) and \(z=d\) carry surface currents of \(\pm
K_{0} \mathbf{a}_{x} \mathrm{~A} / \mathrm{m} .(a)\) Find the energy stored in
the magnetic field per unit length \((0
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