W9_parallel_resonance.eps
Week 2: Continuous Charge and Gauss’s Law 79 S′, and which subtends thesame solid angleand hence the same “stream of flow” of th ...
80 Week 2: Continuous Charge and Gauss’s Law like the field of a point charge and Coulomb’s Law and so on are actuallyconsequenc ...
Week 2: Continuous Charge and Gauss’s Law 81 S a r S r 1 2 σo Figure 17: A spherical shell of radiusa, carrying a uniform charge ...
82 Week 2: Continuous Charge and Gauss’s Law every time, as when you know something well enough to be slightly bored writing it ...
Week 2: Continuous Charge and Gauss’s Law 83 Q r r R S(outer) S(inner) Figure 18: A solid sphere of uniform charge densityρand r ...
84 Week 2: Continuous Charge and Gauss’s Law Now we redo the whole thing for the interior integral: ∮ Sinner E~·nˆdA = 4πke ∫ V/ ...
Week 2: Continuous Charge and Gauss’s Law 85 The uniform ball of charge is the basis for a model of theneutral atom– a positive ...
86 Week 2: Continuous Charge and Gauss’s Law where it is presumed that everybody knows how to integrate to evalute the area of a ...
Week 2: Continuous Charge and Gauss’s Law 87 where I’ve used the fact thatλ 0 =QS/L= 2πaσ 0 to help show thatthe field of a cyli ...
88 Week 2: Continuous Charge and Gauss’s Law Finally, we write out Gauss’s law and solve forEz: φe= 2EzA = QS ǫ 0 =σ^0 A ǫ 0 Ez ...
Week 2: Continuous Charge and Gauss’s Law 89 In a typical conductor – for example a metal such as silver or copper – there is on ...
90 Week 2: Continuous Charge and Gauss’s Law Note well thatall of these properties are for equilibrium only!As we will shortly l ...
Week 2: Continuous Charge and Gauss’s Law 91 from Gauss’s Law plus our knowledge that the field vanishes inside. ) Is theinteri ...
92 Week 2: Continuous Charge and Gauss’s Law each surface charge layer goall he way to infinity, where the total field is the ve ...
Week 2: Continuous Charge and Gauss’s Law 93 Second (b) a charged object (perhaps prepared by the triboelectric effect, rubbing ...
94 Week 2: Continuous Charge and Gauss’s Law itinsideof a hollow, conducting sphere and touch it to the larger sphere on the ins ...
Week 2: Continuous Charge and Gauss’s Law 95 Homework for Week 2 Problem 1. Physics Concepts Make this week’s physics concepts s ...
96 Week 2: Continuous Charge and Gauss’s Law after doing it. Problem 3. θ 0 λ 0 R An arc of linear charge densityλ 0 and radiusa ...
Week 2: Continuous Charge and Gauss’s Law 97 Problem 5. a b ρ 0 A thick, nonconducting spherical shell of inner radiusaand outer ...
98 Week 2: Continuous Charge and Gauss’s Law Problem 7. a b +q A spherical conducting shell with zero net charge has inner radiu ...
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