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reclass2.pdf A Read aloud T Add text Draw + Page view FYS. 113 Physics 3 Pre-class assignments 2/2022 1) There is a straight and circular

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reclass2.pdf A Read aloud T Add text Draw + Page view FYS. 113 Physics 3 Pre-class assignments 2/2022 1) There is a straight and circular charged wire in the figure. In both cases the length is _ and the linear charge density is constant 1. a) Fort both cases, write the expression for the field element caused by the length element di in terms of the charge element (electric flux density, vector quantity). b) What is the direction of total field due to the wire, and why? Sketch to the figure a graphical solution, and write the expression of the remaining component (the absolute value). c) When the field is integrated using the charge elements, which of the parameters are constant in intregration and which of them are not? Consider both cases of the figure below. da r X dD X L = 279 2) In the figures below, there is a blue sphere with a homogenous charge distribution. With gray color, various imagined surfaces have been shownH (cube, sphere x 2, open semi-sphere or a kind of "bowl"). a) Write Gauss' law and tell, which of these surfaces can be used in applying Gauss' law, i.e., which of the surfaces fulfill the conditions of so called Gauss' surface? b) Which of these surfaces is useful in calculating electric field of the charged sphere using Gauss' law? c) Using Gauss' law and suitably chosen Gauss' surface, show that the electric field inside a hollow uniformly charged sphere is zero. O O n

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