When a shower is turned on in a closed bathroom, thesplashing of the water on the bare tub can fill the room’s air withnegatively charged ions and produce an electric field in the air asgreat as 1000 N/C. Consider a bathroom with dimensions 2.5 m 3.0 m 2.0 m. Along the ceiling, floor, and four walls, approximatethe electric field in the air as being directed perpendicular to the surfaceand as having a uniform magnitude of 600 N/C.Also, treat thosesurfaces as forming a closed Gaussian surface around the room’s air.What are (a) the volume charge density r and (b) the number ofexcess elementary charges e per cubic meter in the room’s air?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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When a shower is turned on in a closed bathroom, the
splashing of the water on the bare tub can fill the room’s air with
negatively charged ions and produce an electric field in the air as
great as 1000 N/C. Consider a bathroom with dimensions 2.5 m
3.0 m 2.0 m. Along the ceiling, floor, and four walls, approximate
the electric field in the air as being directed perpendicular to the surface
and as having a uniform magnitude of 600 N/C.Also, treat those
surfaces as forming a closed Gaussian surface around the room’s air.
What are (a) the volume charge density r and (b) the number of
excess elementary charges e per cubic meter in the room’s air?

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