Fundamentals Of Electromagnetics With Justask! Set
1st Edition
ISBN: 9780470106389
Author: Stuart M. Wentworth
Publisher: WILEY
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Question
Chapter 2, Problem 2.31P
To determine
To plot: The electric flux density versus radial distance
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Chapter 2 Solutions
Fundamentals Of Electromagnetics With Justask! Set
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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Similar questions
- Consider a solid sphere of radius 5cm having volume charge density of 20 C/m^3. Calculate the electric flux density at 10cm from the outer surface of sphere.arrow_forwardExample An insulating solid sphere of radius a has a uniform volume charge density ρ and carries a total positive charge Q. (A) Calculate the magnitude of the electric field at a point outside the sphere. (B) Find the magnitude of the electric field at a point inside the spherarrow_forwardThe 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_forward
- A sphere of + 11Q charge density of radius a is located in the center of a conductive sphere shell with an inner radius b and an outer radius c, as shown in the figure. a) Find the electric field in each region. b) Find the charge potential in the conductive shell. c) What is the electrical potential outside the sphere?arrow_forwardSince the potential of a perfect conducting sphere with a radius of 2.5 cm in empty space is 9 V, calculate the value of the potentials at a distance of 19.4 cm from the center of the sphere in terms of volts.arrow_forwardWhich of the following is true regarding the electric flux density? a. It always has the same direction as the electric field present in the region.b. The electric flux density of any uniform charge distribution is always uniform.c. The electric flux density is related to the surface charge density of the Gaussian surface, giving it the same unit of measurement, C/m2. d. The electric flux density always passes perpendicular through the Gaussian surface.arrow_forward
- A charge +Q, is uniformly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r from the centre of the sphere where : (i) 0 < r < R and (ii) r > Rarrow_forwardConsider a line charge of density 5 nC/m located at x = 1, y = 3. Determine the amount of flux, in nC, passing through a sphere with center on the origin and radius 13 m. All coordinates are measured in meters.arrow_forwardFind E at the origin if the following charge distributions are present in free space: point charge, 12 nC at P(2, 0, 6); uniform line charge density, 3nC/m at x =−2, y = 3; uniform surface charge density, 0.2nC/m² at x = 2arrow_forward
- Inside a sphere of radius a is a volumetric charge distribution with a density expressed in spherical coordinates as pv = k0 / r2 [C / m3]. Show that the equation div(D) = pv is satisfied by calculating div(D) inside and outside the sphere.arrow_forwardConsider a long wire in the air (a thin perfectly conducting cylinder ofinfinite length) of radius r0 and charge per unit length q Cm−1.(a) State Gauss’ law for the electric flux density D.(b) The electric flux density D outside the wire varies with the radial distance rfrom the center of the wire. Use Gauss’ law to calculate the electric flux density Das a function of r for r larger than the radius of the wire.(c) What is the equation relating electric field E to electric flux density D in air?What is the electric field E as a function of r for r larger than r0?(d) Suppose we measure voltages relative to a point g outside the wire that is a radialdistance rg from the center of the wire. Write down an integral for the voltage V ofthe wire relative to the point g.(e) The capacitance of the wire per unit length is defined as q/V . If the radius r0of the wire increases, how does the capacitance per unit length change? Explain.arrow_forwardA sphere of radius R has total charge Q. The volume charge density (C/m3) within the sphere is ρ(r)=C/r2, where C is a constant to be determined. 1. Use Gauss's law to find an expression for the magnitude of the electric field strength E inside the sphere, r≤R, and r>- (more or equal) in terms of Q and R.arrow_forward
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