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 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 = 01+02 + 03 + @xy+®xz+ @yz The flux through surface 1 is: 01 = 0. The flux through surface 2 is: 02 = The flux through surface 3 is: 03 = The flux through the surface on the xy plane is: O ху The flux through the surface on the xz plane is: Oxz = The flux through the surface on the yz plane is: Oyz* Taking the algebraic sum, the net electric flux through the cube is: Onet
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 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 = 01+02 + 03 + @xy+®xz+ @yz The flux through surface 1 is: 01 = 0. The flux through surface 2 is: 02 = The flux through surface 3 is: 03 = The flux through the surface on the xy plane is: O ху The flux through the surface on the xz plane is: Oxz = The flux through the surface on the yz plane is: Oyz* Taking the algebraic sum, the net electric flux through the cube is: Onet
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.
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:
Фрet 3D Ф, + Ф, + Ф3 + Фху + Фҳz + Фуz
The flux through surface 1 is: 01 = 0.
The flux through surface 2 is: 0, =
The flux through surface 3 is: 03 =
The flux through the surface on the xy plane is: Oxy
The flux through the surface on the xz plane is: 0 xz
The flux through the surface on the yz plane is: O vz=
Taking the algebraic sum, the net electric flux through the cube is: 0
'net](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25858591-c5c2-4e81-946f-cb1029ef9a47%2F1681ea71-cde4-41b2-922c-8f67043fb837%2Frwb5qmo_processed.png&w=3840&q=75)
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:
Фрet 3D Ф, + Ф, + Ф3 + Фху + Фҳz + Фуz
The flux through surface 1 is: 01 = 0.
The flux through surface 2 is: 0, =
The flux through surface 3 is: 03 =
The flux through the surface on the xy plane is: Oxy
The flux through the surface on the xz plane is: 0 xz
The flux through the surface on the yz plane is: O vz=
Taking the algebraic sum, the net electric flux through the cube is: 0
'net
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