-8 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 X 3.0 m x 2.0 m. Along the ceiling, floor, and four walls, approximate the electric field in the air as being directed perpendicular to the sur- face 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 p and (b) the number of excess elementary charges e per cubic meter in the room's air?
-8 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 X 3.0 m x 2.0 m. Along the ceiling, floor, and four walls, approximate the electric field in the air as being directed perpendicular to the sur- face 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 p and (b) the number of excess elementary charges e per cubic meter in the room's air?
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Solve by calculating the area of each surface first and also calculate the flux of each surface then add all 6 fluxes to get the net flux and use that to fi d the total charge enclosed
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