705_Physics ProblemsTechnical Physics

705_Physics ProblemsTechnical Physics - Chapter 24 P24.61...

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Chapter 24 45 P24.61 The field direction is radially outward perpendicular to the axis. The field strength depends on r but not on the other cylindrical coordinates θ or z . Choose a Gaussian cylinder of radius r and length L . If ra < , Φ E q = in 0 and Er L L 2 0 π λ bg = E r = 2 0 or = < 2 0 r ± af . If arb << , L Lr a L 2 22 0 λρ ej = +− = λρπ r 0 2 ± . If rb > , L Lb a L 2 0 = = > ba r 0 2 ± . P24.62 Consider the field due to a single sheet and let E + and E represent the fields due to the positive and negative sheets. The field at any distance from each sheet has a magnitude given by Equation 24.8: EE == σ 2 0 . (a) To the left of the positive sheet,
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