Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 2, Problem 2.53P
A 150–m length of AWG–22 (0.644 mm diameter) copper magnet wire with a very thin insulative sheath is used to make a tightly wrapped coil. Determine the resistance for this length of wire.
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A magnetic core in the form of a closed circular ring has a mean length of 30 cm and a cross sectional area of 1 sq cm. Determine the reluctance if the relative permeability of iron is 2400
Q1/ A / Discuss B-H curve of a ferro-magnetic material .
B / Define the following terms (any three) :
(i) MMF (ii ) magnetism. (iii ) Reluctance (v) flux density
Q1. Figure 1 shows the magnetic circuit with cross section area of core, 1000 mm2
and current source, 10 mA. By assuming the absolute permeability of core is
2.513x103 H/m, analyze the circuit and determine the following parameters:
a. Draw the equivalent Ampere Circuital Law model
b. Total reluctance of magnetic circuit
c. Magnetic flux at centre and both sided
d. Magnetic flux density at centre and air gaps
e. Magnetic flux strength at centre and air gaps
f. Briefly explain, effect to the magnetic circuit if the length of air gaps keep
decreasing and increasing.
at
7 cm
30 cm
30 cm
7 cm
7 cm
30 cm
1 cm
400 turns
1 cm
7 cm
Figure 1
B-H CURVE
BIT)
16
Sheet steel
Cast steel
14
12
1.0
08
Cast iron
0.6
04
0.2
H(AUm)
500
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Chapter 2 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 2 - Given P(4, 2, 1) and APQ=2ax+4ay+6az, find the...Ch. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Suppose Q1(0.0,-3.0m,0.0)=4.0nC,...Ch. 2 - Prob. 2.5PCh. 2 - Suppose 10.0nC point charges are located on the...Ch. 2 - Four 1.00nC point charges are located at...Ch. 2 - A 20.0nC point charge exists at...Ch. 2 - Prob. 2.9PCh. 2 - Convert the following points from Cartesian to...
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - A 20.0–cm–long section of copper pipe has a...Ch. 2 - A line charge with charge density 2.00nC/m exists...Ch. 2 - You are given two z–directed line charges of...Ch. 2 - Suppose you have a segment of line charge of...Ch. 2 - A segment of line charge L=10.nC/m exists on the...Ch. 2 - In free space, there is a point charge Q=8.0nC at...Ch. 2 - Prob. 2.20PCh. 2 - Sketch the following surfaces and find the total...Ch. 2 - Consider a circular disk in the x–y plane of...Ch. 2 - Suppose a ribbon of charge with density S exists...Ch. 2 - Sketch the following volumes and find the total...Ch. 2 - You have a cylinder of 4.00–in diameter and...Ch. 2 - Consider a rectangular volume with...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Given D=2a+sinazC/m2, find the electric flux...Ch. 2 - Suppose the electric flux density is given by...Ch. 2 - Prob. 2.31PCh. 2 - A cylindrical pipe with a 1.00–cm wall thickness...Ch. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - A thick–walled spherical shell, with inner...Ch. 2 - Prob. 2.37PCh. 2 - Determine the charge density at the point...Ch. 2 - Given D=3ax+2xyay+8x2y3azC/m2, (a) determine the...Ch. 2 - Suppose D=6cosaC/m2. (a) Determine the charge...Ch. 2 - Suppose D=r2sinar+sincosaC/m2. (a) Determine the...Ch. 2 - Prob. 2.42PCh. 2 - A surface is defined by the function 2x+4y21nz=12....Ch. 2 - For the following potential distributions, use the...Ch. 2 - A 100nC point charge is located at the origin. (a)...Ch. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Suppose a 6.0–m–diameter ring with charge...Ch. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - The typical length of each piece of jumper wire on...Ch. 2 - A 150–m length of AWG–22 (0.644 mm diameter)...Ch. 2 - Determine an expression for the power dissipated...Ch. 2 - Find the resistance per unit length of a stainless...Ch. 2 - A nickel wire of diameter 5.0 mm is surrounded by...Ch. 2 - Prob. 2.57PCh. 2 - A 20nC point charge at the origin is embedded in...Ch. 2 - Suppose the force is very carefully measured...Ch. 2 - The potential field in a material with r=10.2 is...Ch. 2 - In a mineral oil dielectric, with breakdown...Ch. 2 - Prob. 2.62PCh. 2 - For z0,r1=9.0 and for z0,r2=4.0. If E1 makes a 300...Ch. 2 - Prob. 2.64PCh. 2 - Consider a dielectric–dielectric charge–free...Ch. 2 - A 1.0–cm–diameter conductor is sheathed with a...Ch. 2 - Prob. 2.67PCh. 2 - For a coaxial cable of inner conductor radius a...Ch. 2 - Prob. 2.69PCh. 2 - Prob. 2.70PCh. 2 - A parallel–plate capacitor with a 1.0m2 surface...Ch. 2 - Prob. 2.72PCh. 2 - Prob. 2.73PCh. 2 - Given E=5xyax+3zaZV/m, find the electrostatic...Ch. 2 - Suppose a coaxial capacitor with inner radius 1.0...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Calculate the voltage of the DC source and the stored field energy of the actuator illustrated infigure 1.1. The dimensions of the magnetic circuit proposed in shown figure 1.2. The core of the magnetic circuit is made of cast steel material whose B-H characteristics is illustrated in figure 1.3. The coil in figure 1.1 has 250 turns, and the coil resistance is 5 ohms. For a given length g=5mm, a Dc source is connected to the coil to produce a flux density of 1 Tesla in the air gap.arrow_forwardcompute the reluctance of the magnetic circuitarrow_forward2.3arrow_forward
- Figure 1 shows a ring formed with two different materials – cast steel and mild steel. Mild steel has a mean length of 400 mm and an area of 500 mm². Cast steel has a mean length of 300 mm and an area of 312.5 mm2. The magnetisation curve for mild steel and cast steel is shown in Figure 2. Find the total MMF required to cause a flux of 500 µWb in the magnetic circuit. Determine also the total circuit reluctance. 1.8 Cașt steel Cast-steel 1.6 Silicon iron 1.4 Mild steel 1.2 1.0 0.6 Mild stel Cast iron 0.6 Figure 1: Ring arrangement 0.4 0.2 3000 4000 Magnetic field strength, H(A/m) 1000 2000 5000 600ỘI 7000 Figure 2: Magnetization Curve MMF = AT Reluctance = x 10* ΑT/Wb Flux density, B(T)arrow_forwardConsider an iron ring of 10 cmdiameter is uniformly wounded with 3000 turns of wire. The coil current is 0.25 A and a flux density of 0.6 T is set in the ring. Determine the relative permeability of the iron and magnetic field strength.arrow_forwardExplain the following. A. Magnetic Field Strength B. Boundary Conditionsarrow_forward
- Please see the attached image.arrow_forwardThe saturation curve of a particular core material shows that at a magnetic field intensity of 1250 At/m and the flux density is 0.80 Tesla. Determine the relative permeability of the core material.arrow_forwardQuestion 3.4 (3.4)The length of a magnetic circuit in a moving iron instrument is 300mm. The coil around the soft-iron core has 360 turns and takes a current of 1.75 A. The core is square in section with sides of 20 mm. Take the relative permeability of soft iron as 1100. 3.4.1) Determine the magnetomotive force in the core 3.4.2)Determine the field strength 3.4.3) Determine the total fluxarrow_forward
- A mmf is supplied by a current of 1 A through 100 turns. The magnetic unit consists of a steel core of 800 relative permeability, length of 10 cm and cross-sectional area of 4 cm2 and an air gap of 1 cm long. What is the total reluctance of the magnetic circuit in AT/Wb?arrow_forwardAn iron circuit with a small0.75 mm air gap is shown in Figure 1. A 6000 turn coil carries a current I = 18 mA which sets up a flux within the iron and across the air gap. The cross section of the iron is a consistent 0.8 cm2, and the mean length of the flux path is 0.15 m. a) Redraw the magnetic circuit using schematic symbols of an electric circuit with reluctance in each part of the circuit. b) State's Ohm's Law for magnetic circuit. c) By neglecting the effect of fringing, calculate the reluctance of the circuit. d) Find the flux within the core. N = 6000 Iron circuit (u, = 800 for iron). Figure 1arrow_forwardA 0.5-m length of wire carries a 10-A current perpendicular to a magnetic field. Determine the magnetic flux density needed so that the force on the wire is 3 N.arrow_forward
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