This is an infinitely large sheet with uniform surface charge density σ.

Sunday, 12 August 2018

6:27 PM

Machine generated alternative text: Question: Figure 1. This is an infinitely large sheet with uniform surface charge density m A cylindrical Guassian surface (dashed line) witn length 2d and a circular face radius r is bisected by the infinite plane. An infinite plane ot charge has a surface charge density Ota = 3.86gC/m . Consider a Gaussian surface, a cylinder with radius r = 3.61 cm and length 2d = 31.18 cm centred on the plane so that the circular faces of the Gaussian surface are parallel to the plane. part 1) What charge is enclosed within the cylindrical Gaussian surface? c part 2) What is the electric field strength at a perpendicular distance d part 3) What is the electric field strength at a perpendicular distance 2d 15.59 cm from the plane ot charge? 31.18 cm trom the plane of charge?

 

Machine generated alternative text: Feedback tor Part 1) The enclosed charge is given by m•2a as the surface area ottne circle is and the surface charge density is a. Make sure you convert r from cm to m and fftromgC/m to C/m Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 Feedback tor Part 2) Gauss's law tells us that where qenc ¯ surface. am•2 was calculated in part 1 The electric field lines point out perpendicularly trom the Gaussian surface. The direction of the surface increment dA is perpendicular to the Gaussian E E E E Figure 1 _ The electric field vectors E are perpendicular to the charged plate. Also the area vectors dA of the Gaussian surface are perpendicular to each surface otthe cylinder dA and E are parallel for the circular ends ot the cylinder but are perpendicular for the rest ot the surface, thus only the two circular ends contribute to the integral • dA = E x 2m•2 Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 Feedback tor Part 3) You have correctly answered this part Marks for this submissiom 0.33/0.33. A correct answer is 1.58e — 8, which can be typed in as follows: 1.582-8 A correct answer is 218000, which can be typed in as follows: 218eaa A correct answer is 218000, which can be typed in as follows: 218eaa 7rr2

 

 

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