Fundamentals of Electromagnetics with Engineering Applications
5th Edition
ISBN: 9780471263555
Author: Stuart M. Wentworth
Publisher: John Wiley & Sons
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Chapter 2, Problem 2.64P
To determine
The electric field intensity
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EXAMPLE Find H at ( -3,4,0 ) due to 3A filamentary current directed inward from infinity to the origin on the positive z axis , and then outward to infinity along the x axis .
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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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- Find H at ( 3, - 4, 0) due to 3 mA filamentary current directed inward from infinity to the origin on the positive z axis, and then outward to infinity along the y axis.arrow_forwardFor the field H = 4x2y ay A/m ,determine the magnitude (absolute value) of the current flowing the rectangular path around the region: x = 1.1 to 7, y = 2 to 7.3, z = 0arrow_forwardFind the electric field inside the spherical linear dielectric material if it is placed in an external electric field Eextarrow_forward
- Where surfaces ρ = 5 , φ = 60, and Z = 10 intersect iarrow_forwardGiven a 2.215 nC/m2 surface charge at z = – 15. Solve E on point (250, 100, 10) caused by the surface charge in (nC/m).arrow_forward3: Two spheres surfaces have radii a = 10 cm (inner), and b = 15 cm (external). The dielectric has relative permeability er = 10 / r?. Find a. Capacitance between the two surfaces b. E at a point between them.arrow_forward
- 7x+14y=5 surface ps=42 (nC/m2) bears the burden. (-1 ,0, 1 ) Determine the electric field strength (E) at the point.arrow_forward7.3 1 A circular current filament lies in the xy plane with its center at the origin. The loop carries current / in the positive аф direction and is of radius a. Find H everywhere on the z axis.arrow_forwardA sphere which has Q= 10 mC and radius a=6 mmFind electric field intensity E when E is r=3 mm away from the centre of the spherearrow_forward
- Two perfect dielectrics are separated by a surface x = 0, where dielectric 1 occupies x < 0 and dielectric 2 occupies x > 0. If E = 2.9 ax + 6.6 ay + 5.3 az V/m, find the normal component of the electric field at the boundary. Express your answer in V/m.arrow_forwardTwo homogeneous lossless dielectric mediums with dielectric constants ϵr1=3 and ϵr2=5 are separated by the xz plane (y=0). In case of E1→=20x^+30y^−50z^V/m uniform dielectric field in the y<0 region; Find E2→ in the region y>0?arrow_forwardTwo perfect dielectrics are separated by a surface x = 0, where dielectric 1 occupies x < 0 and dielectric 2 occupies x > 0. If E = 6.9 ax + 7.8 ay + 1.2 az V/m, find the tangential component of the electric field at the boundary. Express your answer in V/m using two decimal places.arrow_forward
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Demos: Dielectric breakdown; Author: Caltech's Feynman Lecture Hall;https://www.youtube.com/watch?v=2YrHh1ikefI;License: Standard Youtube License