Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface. We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: The flux through surface 1 is: . The flux through surface 2 is: . The flux through surface 3 is: . The flux through the surface on the xy plane is: . The flux through the surface on the xz plane is: . The flux through the surface on the yz plane is: . Taking the algebraic sum, the net electric flux through the cube is: .
Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface. We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: The flux through surface 1 is: . The flux through surface 2 is: . The flux through surface 3 is: . The flux through the surface on the xy plane is: . The flux through the surface on the xz plane is: . The flux through the surface on the yz plane is: . Taking the algebraic sum, the net electric flux through the cube is: .
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter24: Gauss’s Law
Section: Chapter Questions
Problem 24.63CP: A dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure...
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Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface.
We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux:
The flux through surface 1 is: .
The flux through surface 2 is: .
The flux through surface 3 is: .
The flux through the surface on the xy plane is: .
The flux through the surface on the xz plane is: .
The flux through the surface on the yz plane is: .
Taking the algebraic sum, the net electric flux through the cube is: .
Transcribed Image Text:Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate
the electric flux through the closed surface.
E
L
3
L
We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux:
Onet
Ф1+Ф2 + Фз + Фху + Фxz + Ф уz
The flux through surface 1 is: 01 =0.
%3D
The flux through surface 2 is: 02=
The flux through surface 3 is: 03=
%3D
The flux through the surface on the xy plane is: Oxy=
ху
The flux through the surface on the xz plane is: Oxz=
XZ
The flux through the surface on the yz plane is: Oyz =
yz
Taking the algebraic sum, the net electric flux through the cube is: Onet=
111
(2)
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