A charge of 260 µC is at the center of a cube of edge 45.0 cm. No other charges are nearby. (a) Find the flux through each face of the cube. N. m2/c (b) Find the flux through the whole surface of the cube. m²/c (c) Would your answers to parts (a) or (b) change if the charge were not at the center? O (a) would change. (b) would change. Both (a) and (b) would change. O Neith
A charge of 260 µC is at the center of a cube of edge 45.0 cm. No other charges are nearby. (a) Find the flux through each face of the cube. N. m2/c (b) Find the flux through the whole surface of the cube. m²/c (c) Would your answers to parts (a) or (b) change if the charge were not at the center? O (a) would change. (b) would change. Both (a) and (b) would change. O Neith
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter27: Capacitors And Batteries
Section: Chapter Questions
Problem 60PQ
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Expert Solution
Step 1
The concept that we used here is Gauss's law.
First, use Gauss's law to calculate the electric flux one face of the cube, then divide the flux by 6 to get the flux through each of the cube's six faces.
Finally, use the expression to calculate the flux through the cube when the length changes.
Fundamentals
Gauss's law states that the charge stored inside is equal to the flux times the permittivity of free space. That is expressed as follows: , q is the charge, is the permittivity of free space, and is the flux
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