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 8.22P
To determine
(a)
The value of
To determine
(b)
The value of
To determine
(c)
The value of
To determine
(d)
The value of
To determine
(e)
The value of
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1.2 Magnetic Circuits
The figure shows a ferromagnetic core whose mean path length is 40cm. 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 12 cm², 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.
Mr = 4000
N=400
turns
·25.4m²
Il=0.0005m
A=0.0012 m²
Given this information:
a) Find the total reluctance of the flux path (iron plus air gap).
b) Find the current required to produce a flux density of 0.5 T in the air gap.
c) Qualitatively describe the effect of the air gap on the magnetic circuit.
A ring of ferromagnetic material has a rectangular section. The inner diameter is 15 cm.The outer diameter is 24 cm. And the thickness is 5 cm. There is a coil of 500 turns wound onthe ring. When the coil has a current of 10 A, the flux in the core is 0.0007 Wb. Theaverage length of the ring is Ln=0.66m Determine:a) The magnetomotive force.b) The intensity of the magnetic field and the flux density.c) Reluctance, permeability and relative permeability.
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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- An electromagnet shown below has a cross section area of 10 cm2 with a mean length of iron path of 100cm and mean length of airgap is 0.4cm . It is excited by a coil of 1000 turns of conductor windings. When a current of 1A is provided to the coil and the relative permeability of iron is 1300, then find the magnetic flux in the circuit. Select one: Oa. 1.25Wb O b. None of these Oc.0.00027Wb O d. 027W.arrow_forwardi need the answer quicklyarrow_forwardFigure 1 shows a ferromagnetic core with a relative permeability of 1850, the depth of the core is 10 cm. The air gap on the core is 0.2 cm with effective area 5 % larger than their physical size due to fringing effects. Given the number of turns N = 500 and current i = 2 x, where x is the last digit of your student ID (example: EEE1705590, then i = 20 A): (a) Find the total reluctance of the core and air gap. [CLO1-PL01:C2] (b) Find the flux density of the air gap. [CLO1-PLO1:C2] 13 cm 23 cm 9 cm 5.6 сm Air gap 31 cm N turns 7 cm Figure 1arrow_forward
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