2008+ Solved Problems in Electromagnetics

Chapter 2: Electrostatics

Charge Distributions/Coulomb's Law/The E-Field/Superposition Principle/Electric Flux and Gauss' Law/Induced Charge/Voltage/Electric Dipoles/Dielectrics and Polarization/Permittivity/Conditions at an Interface/Potential Energy of a Charge Configuration/Equipotentials and Field Lines/Capacitance/Poisson's and Laplace's Equations/Solutions by Separation of Variables/Method of Images

Solved Problems 1 50

2.1 Sources of electric ( E-) fields are electric charges, measured in coulombs (C). Various space distributions of charge are: line, surface, and volume distributions; these are respectively described by density functions ? ? (C/m), ? s (C/m 2), and ? v (C/m 3). Find the total charge on the x axis from 0 to 10 m if ? ? = 3 x 2 ( ?C/m).

2.2 Given ? ?( x, y, z) = 2 x + 3 y - 4 z (C/m), find the charge on the line segment extending from (2, 1, 5) to (4, 3, 6)

2.3 A circular disk of radius R has a surface charge density that increases linearly away from the center, the constant of proportionality being k. Determine the total charge on the disk.

2.4 Find the total charge on the triangle of Fig. 2-1, given surface density ? s = 6 xy (C/m 2).


Figure 2-1

2.5 A sphere of 200-mm radius contains electrical charge of density 2/( r sin ?) (C/m 3). What is the total charge...

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