EBK FUNDAMENTALS OF ELECTROMAGNETICS WI
1st Edition
ISBN: 9781118896402
Author: WENTWORTH
Publisher: YUZU
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Textbook Question
Chapter 2, Problem 2.30P
Suppose the electric flux density is given by
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Given that D=500e-0.1x ax (μC/m2), find the flux (in μC) crossing the surface area of 1 m2 normal to the x-axis and located x=10 m.
The magnetic flux density in all of space is given by
B=(3z)ax+(8x2−x2y)ay+(y+x2z)az Wb/m2.
Let S denote the paraboloidal surface defined by
y=x2+z2,0≤y≤64.
Find the net magnetic flux Φ passing through S in the direction away from the xz-plane.
Hint: Think about whether there is another way to solve this, such as by using a capping surface.
Find the flux passing through the surface y = 3, -1 < x < 2, 1 < z < 4 given the electric field everywhere in the region is volts per meter. All coordinates are in meters. Assume a positive direction for the surface vector.
Chapter 2 Solutions
EBK FUNDAMENTALS OF ELECTROMAGNETICS WI
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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- A rectangular loop carrying current I is placed on the xy-plane. Assume that the corners of the loop are at (0,0),(a,0), (0,b), (a,b). Find the magnetic field intensity above the loop. Specifically, let a=2, b=1: A.) Find the magnetic field intensity H at any point in the region 0<x<a, 0<y<b, 0<z<2.arrow_forwardQ1) Evaluate both sides of stoke's theorem if the magnetic flux density is given by 37.7r aphi(vector) uWb/m^2 in a free space area defined byr = 3; 0arrow_forward5. The cylindrical surface ρ = 6 cm contains the surface charge density ρs = 10e-10 IzI nC/m2. a.) What is the total amount of charge present? b.)How much flux leaves the surface ρ=6cm, 2cm<z<4cm,30°<φ<60°?arrow_forward
- A rectangular surface of length 3.25 cm and width 5.25 cm lies on the y-z plane at x = 0. What is the flux through this surface due to a uniform magnetic field of 0.65 T directed 60O from the +x-axis?arrow_forwardElectric field intensity at any point (x,y,z) in free space is E = x2 ax + 2xy ay. Theelectric flux density at the point (- 1,0,1) will bearrow_forward1.) a charge Q is at the center of the sphere having radius=aa.) Determine the flux density and the electric intensity at the surfaceb.) Find the relationship between D at the surface at radius=a and at radius=b, where a<barrow_forward
- Derive the flux density, D, by applying Gauss's Law:1. Uniformly charged spherearrow_forwardA spherical Gaussian surface surrounds a point charge (q), if the radius of the sphere is doubled, the total flux through that surface will bearrow_forwardA nonuniform electric field is given by the expression D=2y ax+z ay-3x az C/m^2. Determine the electric flux through a rectangular surface in the xy plane, extending from x = 0 to x = 5 and from y = 0 to y = 6.arrow_forward
- An infinitely long wire carrying current is extended along the z-axis. A square plate with edge length a, lying in the yz plane, is placed next to the wire. Find the magnetic flux passing through the plate surface.arrow_forwardA long, straight wire containing a semi-circular region of radius 0.95 m is placed in a uniform magnetic field of magnitude 2.20 T as shown in the figure. Calculate the net magnetic force acting on the wire when it carries a current of 3.40A.arrow_forwardElectric flux density is given as:?⃗ = (?2 + ?)? ? + (3? − 5?2)? ? − (2??)? ?a) Determine the volume charge density at point (1,1,1).b) The flux through the cube defined by: 0 ≤ ? ≤ 1, 0 ≤ ? ≤ 1, 0 ≤ ? ≤ 1.c) Find the total charge enclosed by the cube.arrow_forward
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