The figure shows a closed Gaussian surface in the shape of a cube of edge length 2.90 m. It lies in a region where the electric field is given by É = (2.12x+ 2.85)î + 7.37ĵ + 6.22 k N/C, with x in meters. What is the net charge contained by the cube?
The figure shows a closed Gaussian surface in the shape of a cube of edge length 2.90 m. It lies in a region where the electric field is given by É = (2.12x+ 2.85)î + 7.37ĵ + 6.22 k N/C, with x in meters. What is the net charge contained by the cube?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 48PQ
Related questions
Question
Expert Solution
Step 1
The given electric field is,
From the above expression, it is evident that y and z component of the electric field is constant.
Thus, the amount of electric flux coming into the cube along the Y and Z direction is the same as the electric flux going out from the cube in the Y and Z direction.
Thus, the electric field’s Y and Z components do not contribute to the electric flux.
Also, the constant term of the electric field’s x-component does not contribute to the electric flux.
The electric flux can be represented as,
Here, da, Q, and ε0 represent the area element, the charge inside the cube, and the free space’s permittivity, respectively.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 6 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning