Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 5, Problem 5.12P
To determine
(a)
The resistance of the material.
To determine
(b)
The total current flowing between plates.
To determine
(c)
The electric field intensity E within the material.
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A conducting cylinder with a radius of 1 cm and at a potential of 20 V is parallel toa conducting plane which is at zero potential. The plane is 5 cm distant from thecylinder axis. If the conductors are embedded in a perfect dielectric for which ?* =4.5, find:(a) the capacitance per unit length between cylinder and plane;(b) ?# R4S on the cylinder.
a long straight cylindrical wire of radius r meter, in a medium of permittivity e is parallel to a horizontal plane conducting sheet. The axis of the wire is it expr metres above the sheet
(a) Derive an expression of the capacitance per unit length between the wire and the sheet
(b) If r = 0.3 x 10-2 m, h.= 0.12 m find the capacitance per metre length
(c) If the potential difference betweenthe wire and sheet is 5 kV, find the magnitude and direction of electric stress in the medium at theupper surface of the sheet at a distance 20 cm from the axis of the wire.
Take e = 1/36π x 10-9 F/m
[(a) C = 2πe/ln 2h - r/r F/m
(b) 0.0127 x 10-9 F/rn (c) 6.85 kV/m acting vertically downward]
Subject: Ideal Conductors and Capacitors
A conducting sphere of radius a, at potential V0, is surrounded by a thin concentric spherical shell of radius b, over which there is a surface charge given by σ(θ) = k cos θ, where k is a constant.a. Show that the electric potential everywhere can be written as (look at picture)b. Use the result from (a) to determine the induced surface charge density and the total charge of the system. At what location(s) is the charge density maximized or minimized?
Chapter 5 Solutions
Engineering Electromagnetics
Ch. 5 - Prob. 5.1PCh. 5 - Given J=-10-4 (yaxx+ya) A/m2, find the current...Ch. 5 - A solid sphere of radius b contains charge Q....Ch. 5 - Prob. 5.4PCh. 5 - Consider the following time-varying current...Ch. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - A large brass washer has a 2-cm inside diameter, a...
Ch. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - A rectangular conducting plate lies in the xy...Ch. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Consider the serup as in Problem 5.15, except find...Ch. 5 - Prob. 5.18PCh. 5 - Consider the as in Problem 5.8, except find R by...Ch. 5 - Consider the basic image problem of a point charge...Ch. 5 - Let the surface y=0 be a perfect conductor in free...Ch. 5 - The line segment x=0, -1≤y≤1, z=1, carries a...Ch. 5 - A dipole with P=0.1azμC. m is located at A(1,0,0)...Ch. 5 - At a certain temperature, the electron and hole...Ch. 5 - Electron and hole concentration increase with...Ch. 5 - A semiconductor sample has a rectangular cross...Ch. 5 - Atomic hydrogen contains 5.5Ă—1023 atoms/m at a...Ch. 5 - Find the dielectric constant of a material an...Ch. 5 - A coaxial conductor has radii a=0.8mm and b=3 mm...Ch. 5 - Consider a composite material made up of two...Ch. 5 - Prob. 5.31PCh. 5 - Two equal but p\opposite-sign point charges of...Ch. 5 - Two perfect dielectrics have relative...Ch. 5 - A sphere of radius b and dielectric constant £r...Ch. 5 - Prob. 5.35P
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