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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Eddy currents can be induced only in metals that are not ferromagnetic, for example, copper and aluminium.
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A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5
cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5
percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A:
(a) What are the flux values for the left, center and the right legs of the core?
(b) What is the flux density in each air gap?
30 cm-
30 cm
7 cm
30 cm
0.07 cm
300 turns
0.05 cm
cm
Core depth - 5 cm
A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the
left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300
turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A:
(a) What are the flux values for the left, center and the right legs of the core?
(b) What is the flux density in each air gap?
7 cm
-30 cm-
7 em
30 ст
7 cm
30 cm
-0.07 cm
300 turns
0.05 cm-
7 сm
Core depth = 5 cm
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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Similar questions
- A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 7 cm 30 cm 30cm- 7 cm 30 cm 0.07 cm 300 turns 0.05 cm 7 cm Activate Windows Go to Settings to activate Windows. Core depth - 5 cmarrow_forwardA 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.arrow_forward1.2 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.arrow_forward
- 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_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_forward1. Inductance. Consider the configuration of a wire with 90° bends as shown below. A small loop, with its sides of length a and width d = a/16 is placed with its plane lying along xz principal plane as shown. Stating all assumptions, determine mutual inductance between the loop and the wire. a/2 9/2 2aarrow_forward
- Determine the mutual inductance between a very long straightwire and a conducting circular loop of radius “b” m set up “d” mapart on the same plane as shown figure.Problem:arrow_forwardQuestion 1 A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is a) the flux in each of the left, center, and right legs of the core? b) the flux density in each air gap? 7 cm ст ст 30 cm 30 cm 7 cm 400 turns 0.05 cm 30 cm 0.07 cm 7 cm Core depth = 7 cm Figure 2arrow_forwardQuestion A suspension type insulator has three units with self-capacitance C and ground capacitance 0.1C. What will be the string efficiency?arrow_forward
- A ten-turn solenoid has a ferromagnetic core with a relative permeability of 10,000. The length of the solenoid is l=10 cm and its cross section area is A=1 cm2. Determine the inductance L in mH. Round off to your answer to one decimal.arrow_forwardA material that experiences a force and that deforms as a result of charge building up across its surfaces from an applied voltage is known as a/an... O a.... ferro-magnetic material. O b.... semi-conductor material. C.... piezo-electric material. d.... electro-magnetic material.arrow_forwardA ferromagnetic core with a relative permeability of 1500 is shown in the following figure. The depth of the core is 5 cm. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core, and if the current in the coil is 1.25 A, find the magnetic flux and the field density in all three legs of the core, as well as the magnetic flux and flux density in the two air gaps.arrow_forward
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