Answer Happy

Here's another useful application of the Gauss' law you learned last week that is directly applicable to this week's lab. A large sheet has charge density +00. A cylindrical Gaussian surface with a cap radius r encloses a portion of the sheet and extends a distance Lo on either side of the sheet. A is the area of the ends and As is the area of the curved side. Only a small portion of the sheet is shown: K-12, Let El and Er represent the magnitude of the electric field on the left and right ends of the Gaussian surface. How do the magnitudes and directions of El and ER compare? E, and Er are pointing outwards the plane at so to the plane El and ER are of the same magnitude E is different than Er because the charge will be accumulated on one of the surfaces of the sheet E, and Erare perpendicular to the ends of the Gaussian surface and to the plane of the sheet El and ER are pointing outwards the plane El is pointing outward and Er is pointing inwards the plane

Write down an expression for the total charge enclosed by the cylindrical Gaussian surface in terms of +00, r, and Lo Qtotal= Apply the Gauss' law to find out the magnitude of the electric field E outside the charged sheet. Er Which of the following statement(s) are true about the field you just derived? The electric field outside the large charged sheet will be smaller if the charge density on it is higher The potential difference between the sheet and any point outside the sheet will depend on the distance from the sheet The electric field outside the large charged sheet will be larger if the charge density on it is higher o The electric field outside the large charged sheet does not depend on the distance from the sheet The potential difference between the sheet and any point outside the sheet will depend on the distance to the center of the sheet The electric field outside the large charged sheet gets smaller as you move away from the sheet