Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 4.8, Problem 23CQ
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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.
Question 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 2
What is the force F on the 1.0 nC charge in the middle of Figure 2 due to the four other
charges?
Notice:Give your answer in component form(in x and y components).
Along with calculations also write theory to help me understand,i have got stuck with different answers to this question,plz help me answering properly.
Chapter 4 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
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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- Two conductors, one of copper and the other of iron, are connected in parallel and carry equalcurrents at 25°C. How many percent of the total current will the copper conductor carry if thetemperature is raised to 100°C? The temperature coefficients of resistance at 0 °C are 0.0043 /°Cand 0.0063 /°C for copper and iron, respectively.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_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
- Explain the physical meaning of the bound currents, that is, the volume (Jp) and surface (K½) currents.arrow_forwardWhat do the conductors have in common? What do the insulators have in common?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_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_forwardAssume relative permeability = 1 ..arrow_forwardAs the voltage across conductors is increased, the gradient around the surface of conductor ... .. O becomes zero O remains same O decreases O increasesarrow_forward
- A copper conductor has its specific resistance of 1.6 x 10^-16 ohm-cm at 0°C and a resistance temperature coefficient at 1/254.5 per °C . Find (a) specific resistance at 60°C and (b) the resistance temperature coefficient at 60°Carrow_forwardhow 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_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
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