Score/18 Spring 2018 Name: Physics 213 Recitation #3 Write clearly and draw a bo

Question

Score/18 Spring 2018 Name: Physics 213 Recitation #3 Write clearly and draw a box around what is consdered your final answer. Partial credit is gven for conet work even if there is no answer, and no credit will be given for an answer if no relevant work shown. If numerical solution is not possible, give answers in terms of stated quantities 1) A point charge Q is suspended in the middle of a cubic box with side length L. What is the magnitude of the total electric flux through the top face of the cube? 2) A flat square with side length 2.0m is centered at the origin and lies in the x-y plane. The electric fleld in this region is E (8.0 N/C)R-(6.0 N/C)9 (2.0N/C) E. Give the magnitude of the electric flux through the square. 3) A very long (can be treated as infinite) cylindrical line of charge has radius R, and linear charge density You (shoul the electri uniformly throughout the material. d) know the electric field at a distance rR from the center of the line. What is c field a distance r

Explanation / Answer

1. total electric flux = Qinside / e0

(From Gauss law)

= Q / e0

2. A = (2^2) (k) = 4 k

E = 8 i - 6j + 2 k

flux = E.A = (8 x 0) + (-6 x 0) + (4 x 2)

= 8 N m^2 / C

3. taking a concentric cylinder of radius r and length L,

E ( 2 pi r L) = (lamnda L r^2 / R^2) / e0

E = lambda r / (3 pi e0 R^2)

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