Fundamentals Of Applied Electromagnetics
7th Edition
ISBN: 9781292082448
Author: Fawwaz T Ulaby Umberto Ravaioli
Publisher: Pearson Education Dorling Kindersley
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Textbook Question
Chapter 4.5, Problem 12CQ
Why is it usually easier to compute V for a given charge distribution and then find E using
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Chapter 4 Solutions
Fundamentals Of Applied Electromagnetics
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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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
- The cylindrical surface ρ = 8 cm contains the surface charge density, ρS = 5e−15|z| nC/m2. What is the total amount of charge present? How much electric flux leaves the surface ρ = 8 cm, 2 cm < z < 3 cm, 30° < φ < 60°?arrow_forward10. A uniform sheet of charge Pso lies in that portion of the z=0 plane for which |x|< 5. Find D(x,0,r) for z > 0.arrow_forwardA cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m. i. What is the electric field intensity at radius r = 0.32m and l =0.6m? ii. What is the flux through the cylinder if its length increased to l =0.8m? iii. What is the electric field intensity at radius r= 0.32 and l=0.8m? iv. Briefly explain the effect of an increase or decrease of radius andlength on the electric field intensity.arrow_forward
- The cylindrical surface ρ = 8 cm contains the surface charge density, ρS = 5e−20|z| nC/m2. (i) What is the total amount of charge present? (ii) How much electric flux leaves the surface ρ = 8 cm, 1 cm< z < 5 cm, 30◦ < φ < 90◦?arrow_forwardThree uniform line charges with 75 n c/m located at x=1, z=2 and y=-2, z=5 and x=-3y=-1 respectively. Find E at the origin?arrow_forwardWhich of the following is an effective tool to determine directly the conductor surface equation? the electric field at the conductor boundary; (The answer cannot be found on the other choices.) the surface charge density of the conductor; the potential field in the region;arrow_forward
- Analyze and compare the electric field created by line charge distribution, surface charge distribution and volume charge distribution.arrow_forwardVectors and ElectromagneticsIf E= −xax + yay V/m, find the work involved in moving a unit positive charge on a circular arc, the circle at the origin, from x = a to x = y =a/√2.arrow_forwardTwo spherical conductors having equat radii and carrying equal charges in them repell each other with a for e F when kept at some distance. A third spherical conductor having same radius as that of B but uncharged, is btought in contact with C and finally removed away from both. calculate the new force of repulsion between B and C. Answer=3F/8arrow_forward
- 9 9 - The electric field on a non-uniform conductor surface ranges from 5.6.10^4 N/C to 2.8.10^4 N/C. Calculate the surface charge density at the surface point where the radius of curvature of the surface is greatest. {ε0=8,85.10^(-12)C^2/Nm^2} a) -4,96.10^(-7) C/m^2 B) -2,8.10^(-7) C/m^2 NS) 2.8.10^(-7) C/m^2 D) 0 TO) 4,96.10^(-7) C/m^2arrow_forwardWe know that: Maxwell’s 4th law [known as Ampere’s law] has a quantity: electric conducting current. Now, explain: why there is no magnetic conducting current in the 3rd law of Maxwell’s Electromagnetic equation, known as Faraday’s law.arrow_forwardSince there is a charge density of 100 nc / m on the 2 m radius quadrant in the second region, the differential charge taken from a random point and the corresponding ground vector have been correctly defined. Define additionally the location (R) of the point whose potential is desired to be found and the amount of differential change dV in the voltage that will occur due to the differential load you selected. A. R'=2ar ;dq=10-83dφ'dr'; R=zaz ;dv=9109dq/(9+z2)0.5 B. R'=r'ar ;dq=10-8r'dφ'; R=zaz ;dv=9109dq/(9+z2)0.5 C. R'=r'ar ;dq=10-8r'dφ'; R=zaz ;dv=270dφ';/(9+z2)0.5 D. R'=2ar ;dq=10-73dφ'; R=zaz ;dv=9109dq/(9+z2)1.5 E. NONEarrow_forward
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