EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 4.8, Problem 23CQ
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Pls, answer no.1 and 2 (show the complete solution and round off final answers to 4th decimal) (write properly pls)
A DC current I flows in a long solenoidwith n coil-turns per unit length. Thecore is made of iron with permeability
µ
, and has a cross section area S.Determine the force acting on the coreif it is withdrawn to the position shownin figure.
Chapter 4 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
Ch. 4.2 - What happens to Maxwells equations under static...Ch. 4.2 - How is the current density J related to the volume...Ch. 4.2 - Prob. 3CQCh. 4.2 - A square plate residing in the xy plane is...Ch. 4.2 - A thick spherical shell centered at the origin...Ch. 4.3 - When characterizing the electrical permittivity of...Ch. 4.3 - If the electric field is zero at a given point in...Ch. 4.3 - State the principle of linear superposition as it...Ch. 4.3 - Four charges of 10 C each are located in free...Ch. 4.3 - Two identical charges are located on the x axis at...
Ch. 4.3 - In a hydrogen atom the electron and proton are...Ch. 4.3 - An infinite sheet with uniform surface charge...Ch. 4.4 - Explain Gausss law. Under what circumstances is it...Ch. 4.4 - How should one choose a Gaussian surface?Ch. 4.4 - Two infinite lines, each carrying a uniform charge...Ch. 4.4 - A thin spherical shell of radius a carries a...Ch. 4.4 - A spherical volume of radius a contains a uniform...Ch. 4.5 - What is a conservative field?Ch. 4.5 - Why is the electric potential at a point in space...Ch. 4.5 - Prob. 11CQCh. 4.5 - Why is it usually easier to compute V for a given...Ch. 4.5 - Prob. 13CQCh. 4.5 - Determine the electric potential at the origin due...Ch. 4.5 - A spherical shell of radius a has a uniform...Ch. 4.6 - What are the electromagnetic constitutive...Ch. 4.6 - Prob. 15CQCh. 4.6 - What is the conductivity of a perfect dielectric?Ch. 4.6 - Prob. 17CQCh. 4.6 - Prob. 18CQCh. 4.6 - Determine the density of free electrons in...Ch. 4.6 - Prob. 13ECh. 4.6 - A 50 m long copper wire has a circular cross...Ch. 4.6 - Prob. 15ECh. 4.7 - What is a polar material? A nonpolar material?Ch. 4.7 - Prob. 20CQCh. 4.7 - What happens when dielectric breakdown occurs?Ch. 4.7 - Find E1 in Fig. 4-19 if E2=x2y3+z3(v/m),1=20,2=80,...Ch. 4.7 - Repeat Exercise 4.16 for a boundary with surface...Ch. 4.8 - What are the boundary conditions for the electric...Ch. 4.8 - Prob. 23CQCh. 4.9 - How is the capacitance of a two-conductor...Ch. 4.9 - What are fringing fields and when may they be...Ch. 4.10 - To bring a charge q from infinity to a given point...Ch. 4.10 - Prob. 27CQCh. 4.10 - The radii of the inner and outer conductors of a...Ch. 4.11 - What is the fundamental premise of the image...Ch. 4.11 - Given a charge distribution, what are the various...Ch. 4.11 - Use the result of Example 4-13 to find the surface...Ch. 4 - A cube 2 m on a side is located in the first...Ch. 4 - Prob. 2PCh. 4 - Find the total charge contained in a round-top...Ch. 4 - If the line charge density is given by l = 24y2...Ch. 4 - Find the total charge on a circular disk defined...Ch. 4 - If J = 4xz (A/m2), find the current I flowing...Ch. 4 - Prob. 7PCh. 4 - An electron beam shaped like a circular cylinder...Ch. 4 - Prob. 9PCh. 4 - A line of charge of uniform density occupies a...Ch. 4 - A square with sides of 2 m has a charge of 40 C at...Ch. 4 - Three point charges, each with q = 3 nC, are...Ch. 4 - Charge q1 = 6 C is located at (1 cm, 1 cm, 0) and...Ch. 4 - A line of charge with uniform density = 8 (C/m)...Ch. 4 - Prob. 15PCh. 4 - A line of charge with uniform density l extends...Ch. 4 - Repeat Example 4-5 for liie circular disk of...Ch. 4 - Multiple charges at different locations are said...Ch. 4 - Three infinite lines of charge, all parallel to...Ch. 4 - Prob. 20PCh. 4 - A horizontal strip lying in the xy plane is of...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Charge Q1 is uniformly distributed over a thin...Ch. 4 - The electric flux density inside a dielectric...Ch. 4 - Prob. 26PCh. 4 - An infinitely long cylindrical shell extending...Ch. 4 - If the charge density increases linearly with...Ch. 4 - A spherical shell with outer radius b surrounds a...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A circular ring of charge of radius a lies in the...Ch. 4 - Prob. 33PCh. 4 - Find the electric potential V at a location a...Ch. 4 - For the electric dipole shown in Fig. 4-13, d = 1...Ch. 4 - For each of the distributions of the electric...Ch. 4 - Two infinite lines of charge, both parallel to the...Ch. 4 - Given the electric field E=R18R2(V/m) find the...Ch. 4 - An infinitely long line of charge with uniform...Ch. 4 - The xy plane contains a uniform sheet of charge...Ch. 4 - A cylindrical bar of silicon has a radius of 4 mm...Ch. 4 - Repeat Problem 4.41 for a bar of germanium with e...Ch. 4 - A 100 m long conductor of uniform cross-section...Ch. 4 - Prob. 44PCh. 4 - Apply the result of Problem 4.44 to find the...Ch. 4 - A 2 103 mm thick square sheet of aluminum has 5 cm...Ch. 4 - A cylinder-shaped carbon resistor is 8 cm in...Ch. 4 - With reference to Fig. 4-19, find E1 if...Ch. 4 - An infinitely long cylinder of radius a is...Ch. 4 - If E=R150(V/m) at the surface of a 5-cm conducting...Ch. 4 - Figure P4.51 shows three planar dielectric slabs...Ch. 4 - Determine the force of attraction in a...Ch. 4 - Dielectric breakdown occurs in a material whenever...Ch. 4 - An electron with charge Qe = 1.61019 C and mass me...Ch. 4 - In a dielectric medium with r = 4, the electric...Ch. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Conducting wires above a conducting plane carry...Ch. 4 - Prob. 63P
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- A copper conductor has a diameter of 0.6 in and it is 1200 ft long. Assume that it carries a total dc current of 50 A. Find the total resistance of the conductor and the current density. The resistivity of copper is 1.72 x 10-8 2-m.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_forward6. You take a copper wire as shown in the figure, where the cross-section area A doubles between parts 1 and 2 of same length, and apply a potential difference across it so that a current flows from part 1 to 2. What happens in part 2 of the wire, as compared to part 1?" r A) The electron current increases B) The electron density increases C) The resistance increases D) The electric field or drift speed decrease E) The electric field and drift speed decrease Earrow_forward
- Nonearrow_forwardExplain the physical meaning of the bound currents, that is, the volume (Jp) and surface (K½) currents.arrow_forwardBelow you can find a ferromagnetic core and its magnetization curve. If i1=0.4 A and i2= 0.9A, find magnetic flux in the core and the relative permeability under these conditions.arrow_forward
- 25 PROBLEMS 12 cm +1.5-mm gap IP1000t Armature (sheet steel) Cast steel A = 2 cm? throughout FIGURE 1.27. The relay shown in Figure 1.27 has a core made of cast steel and an armature of sheet steel. A flux of 0.8 T in the air gap produces a force that pulls in the CO armature. a. Determine the required current to pull in the armature. b. What force is exerted on the armature to overcome the spring tension? c. Assuming in the closed position the air gap is reduced to 0.1 mm, to what value may the current be reduced (dropout current of relay) just to retain closure? Assume that the same force is required in the closed position to overcome the spring force.arrow_forwardAn 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_forwardAn iron core 0.4 m long and 5 cm2is wound with 300 turns. When a current of 0.5A flows in the coil, how much is the inductance of the coil. Assume the core has a permeability of 2500.arrow_forward
- how does the electrostatic discharge occur in the following situation? explain with suitable mathematical substantiation a. Insulator surface are rubbing together. b.Insulator surface are pulling apart.arrow_forwardQUESTION 2 a) The total AAC cross sectional area is 544.7522 x 106 m2. Each strands having a radius of 0.34 cm and length of conductor is 2 m. Assume that the increase in resistance due to spiraling is 1.4 %. Given the resistivity of AAC at 20 °C is 2.83 x 10* Qm and T = 228 °C. Determine the total composed strands and DC resistance at 30 °C. b) Figure 2 shows the configuration of a single-phase two-conductor in the transmission line. Calculate the total inductance "Ltotal" of the line. (Given, rx = 0.02 m and ry-0.03 m) 3' 1.20 m 0.22 m 2.09 m 0.44 m 2" Conductor 'x' Conductor 'y' Figure 2arrow_forwardTwo long, parallel wires are 6 m apart. They carry steady currents of 10 A each, in opposite directions. Place a third long wire in parallel with the two wires, at a distance of 5 m from each of the two wires. If we run a steady current of 10 A through the third wire, determine the force per unit length acting on the third wire by the other two wires. Use drawing to present your analysis. Make clear the directions of the currents and the force with these three long and parallel wires.arrow_forward
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