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 mx 3.6mx 1.7 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 707 N/C. Also, treat those surfaces as forming a closed Gaussian surface around the room's air. What are (a) the volume charge density pand (b) the number of excess elementary charges e per cubic meter in the room's air?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.1P: Consider a flat plate or a plane wall with a thickness L and a long cylinder of radius r0. Both of...
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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 mx 3.6 mx 1.7 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 707 N/C. Also, treat those surfaces as forming a closed Gaussian surface around the room's air. What
are (a) the volume charge density p and (b) the number of excess elementary charges e per cubic meter in the room's air?
(a) Number
Units
(b) Number
Units
Transcribed Image Text: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 mx 3.6 mx 1.7 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 707 N/C. Also, treat those surfaces as forming a closed Gaussian surface around the room's air. What are (a) the volume charge density p and (b) the number of excess elementary charges e per cubic meter in the room's air? (a) Number Units (b) Number Units
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