Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 8, Problem 8.24P
Two current sheets, K0,ay, A/m at z = 0 and -K0,ay A/m at z = d, are separated by an inhomogeneous material for which pr = as + 1, where a is a constant, (a) Find expressions for H and B in the material. (b) Find the total flux that crosses a 1 m2 area on the yz plane.
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> Figure 1 shows a ferromagnetic core whose mean path length is 40 cm. There is a
small gap of 0.05 cm in the structure of the otherwise whole core. The cross-sectional
area of the core is 12cm?, the relative permeability of the core is 4000 and the coil of
wire on the core has 400 turns. Assume that fringing in the air gap increases the
effective cross-sectional area of the air gap by 5 percent. Given this information.
Find the total reluctance of the flux path (iron plus air gap) and the current
required to produce a flux density of 0.5 T in the air gap.
N=400
0.05 cm
A-12 cm
- 40 cm
Figure 1
> Figure 1 shows a ferromagnetic core whose mean path length is 40 cm. There is a
small gap of 0.05 cm in the structure of the otherwise whole core. The cross-sectional
area of the core is 12cm2, the relative permeability of the core is 4000 and the coil of
wire on the core has 400 turns. Assume that fringing in the air gap increases the
effective cross-sectional area of the air gap by 5 percent. Given this information.
Find the total reluctance of the flux path (iron plus air gap) and the current
required to produce a flux density of 0.5 T in the air gap.
N=400
tums
0.05 cm
A=12 cm?
le-40 cm
Figure 1
Chapter 8 Solutions
Engineering Electromagnetics
Ch. 8 - A point charge, Q = - 0.3 /C and m = 3 Ă— -10-16...Ch. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Show that a charged particle in a uniform magnetic...Ch. 8 - Prob. 8.5PCh. 8 - Show that the differential work in moving a...Ch. 8 - A conducting strip of infinite length lies in the...Ch. 8 - Two conducting strips, having infinite length in...Ch. 8 - A current of-100az A/m flows on the conducting...Ch. 8 - A planar transmission line consists of two...
Ch. 8 - Prob. 8.11PCh. 8 - Two circular wire rings are parallel to each...Ch. 8 - An infinitely long current filament is oriented...Ch. 8 - A solenoid is 25 era long, 3 cm in diameter, and...Ch. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Prob. 8.18PCh. 8 - Given a material for which ℵK = 3.1 and within...Ch. 8 - Find H in a material where (a) fir = 4.2, there...Ch. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Calculate values for HO,B0, and M0 at p = c for a...Ch. 8 - Two current sheets, K0,ay, A/m at z = 0 and -K0,ay...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - Let đ�œ‡rj = 2 in region 1, defined by 2x + 3y —...Ch. 8 - For values of B below the knee on the...Ch. 8 - Prob. 8.29PCh. 8 - Prob. 8.30PCh. 8 - A toroid is constructed of a magnetic material...Ch. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Determine the energy stored per unit length in the...Ch. 8 - Prob. 8.35PCh. 8 - Prob. 8.36PCh. 8 - A Toroid has known, reluctance R. Two windings...Ch. 8 - Prob. 8.38PCh. 8 - Conducting planes in air at Z = 0 and z = d carry...Ch. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Find the mutual inductance between two filaments...Ch. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Beginning with the definition, of the scalar...
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