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 2.52P
The typical length of each piece of jumper wire on a student’s protoboard is 5.0 cm. Assuming AWG–20 (with a wire diameter of 0.812 mm) copper wire, (a) determine the resistance for this length of wire. (b) Determine the power dissipated in the wire for
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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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- The wires of our appliances are insulated with a material mixed with rubber, which has a very high resistivity. If a certain wire has a length of 2.5 m and the outer diameter is 5mm and its inner diameter is 0.5mm, what is its resistance? Note that the inner diameter is present to leave a hallow place where conducting wire ( usually copper) is present. Follow the format: Given: Required: Equation: Solution: Answer:arrow_forwardAssume that a single-conductor belted cable has a conductor diameterof 0.681 in., inside diameter of sheath of 1.7025 in., and a length of8000 ft. The cable is to be operated at 12.47 kV. The dielectricconstant is 4.5, and the power factor of the dielectric at a ratedfrequency and temperature is 0.05. Calculate the following:(a) Capacitance of cable.(b) Charging current.(c) Dielectric loss of cable.(d) Equivalent resistance of insulation.arrow_forwardIn a concentric spherical electrode system with an outer sphere radius of 20 cm (constant) and a rupture voltage of 150kV, the rupture field strength of the insulator in between is constant at 30kV / cm. Determine the limits of the inner sphere radius required to apply 100 kV to the system and interpret the discharge events occurring in the system on the puncture curve for r1 = 2 cm, 9 cm, 17 cm values.arrow_forward
- High Voltage Technique For the most puncture-related arrangement of a concentric spherical electrode system with a voltage of 100 kV to be applied between the electrodes and with Ed=80 kV/cm (insulator puncture strength), Emax = 0.6. Ed a) Inner and outer sphere radii, b) Maximum and minimum field strengths, c) Equivalent electrode opening and utilization factor, d) Its capacity (Ɛ0=8,854x10-12 F/m, Ɛr=1) and insulator volume, e) By keeping the outer sphere radius constant, calculate the inner sphere radius value range that can be used in the system without discharge. ANSWERS: a) r1=4.16 cm, r2=8.32 cm b) Emax=48 kV/cm, Emin=12 kV/cm c) α=2.08 cm, η=0.5 d) C=9.257 pF, Vinsulator=2110 cm3 e)1.53<r1<6.8 cmarrow_forwardAn aluminum interconnection line in an integrated circuit can be operated with a current density up to 10 MA/cm2. If the line is 5 μm wide and 1 μm high,whatisthemaximumcurrentpermittedinthe line?arrow_forwardIn a concentric spherical electrode system with outer sphere radius r2= 28 cm, the insulator is air in between, and the puncture field strength is Ed= 30 kV/cm. The puncture strength and outer sphere diameter are constant. Accordingly, determine the limit values of the inner sphere radius so that there is no discharge when 125 kV is applied to the system.arrow_forward
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- A coaxial cable of consists of two concentric cylindrical conductors. The region between the conductors is completely filled with polyethylene plastic. The radius of the inner conductor is 0.50 cm, the radius of the outer conductor is 1.75 cm, and the length of the cable is 15 cm. The resistivity of the plastic is 1013 Ω • m. Calculate the resistance of the plastic if the electric field is applied across the ends of the conductor.arrow_forwardThe inner conductor of a long coaxial cable has radius a. The inner radius of the outer conductor is b. Inner conductor V0, outer conductor at 0 potential. Determine the electric potential and electric field strength in the insulating material.arrow_forwardTwo lengths of conductors are made from, i) a single solid copper wire of radius 5 mm, and, ii) a bundle of 25 solid copper wires each of radius 1 mm. For each conductor, estimate the resistance per unit length at a frequency of 1 MHz. You may assume a conductivity of σ = 6.7 × 107 Ω −1m−1 and that the skin depth, δ, is given by δ = r 2 µ0σω .arrow_forward
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