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 closedsurface.ELLWe 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+@2+03+0xy+Oxz+®yzThe flux through surface 1 is: 01=0.The flux through surface 2 is:%DThe flux through surface 3 is:3The flux through the surface on the xy plane is: Oxy%3DThe flux through the surface on the xz plane is: Oxz=The flux through the surface on the yz plane is: Ovz=yzTaking the algebraic sum, the net electric flux through the cube is:Pnet

Given data: Edge length = l Electric field =E

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 We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: %3D Ф, + Ф2 + Фз +Фху + Фхz + Фуz Фnet 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: 0 xy The flux through the surface on the xz plane is: xz The flux through the surface on the yz plane is: yz° 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 We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: %3D Ф, + Ф2 + Фз +Фху + Фхz + Фуz Фnet 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: 0 xy The flux through the surface on the xz plane is: xz The flux through the surface on the yz plane is: yz° Taking the algebraic sum, the net electric flux through the cube is: Onet

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 12PQ

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Similar questions

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