Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figurebelow. Calculate the electric flux through the closed surface.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 +®3+Oxy+xz+®yzхуX,The flux through surface 1 is: 0, = 0.The flux through surface 2 is: 02=The flux through surface 3 is: 03The flux through the surface on the xy plane is: ®xy=The flux through the surface on the xz plane is: Oxz=The flux through the surface on the yz plane is: 0,yzTaking the algebraic sum, the net electric flux through the cube is: Onet111

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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 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: net =@1+@2+03+0xv xz + Oyz The flux through surface 1 is: 0, = 0. 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: ху The flux through the surface on the xz plane is: XZ The flux through the surface on the yz plane is: 0 %3D yz Taking the algebraic sum, the net electric flux through the cube is: Onet 111

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 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: net =@1+@2+03+0xv xz + Oyz The flux through surface 1 is: 0, = 0. 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: ху The flux through the surface on the xz plane is: XZ The flux through the surface on the yz plane is: 0 %3D yz Taking the algebraic sum, the net electric flux through the cube is: Onet 111

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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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 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 =01+@2+03+0xy+Oxz+®yz The flux through surface 1 is: 01=0. The flux through surface 2 is: %D The flux through surface 3 is: 3 The flux through the surface on the xy plane is: Oxy %3D The flux through the surface on the xz plane is: Oxz= The flux through the surface on the yz plane is: Ovz= yz Taking the algebraic sum, the net electric flux through the cube is: Pnet
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. L 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: Фпet 3 Ф1 + Ф2 + Фз + Фхут ,+Øxz+@yz The flux through surface 1 is: 0,=0. The flux through surface 2 is: O2 = The flux through surface 3 is: 03 = The flux through the surface on the xy plane is: 0 The flux through the surface on the xz plane is: Oxz The flux through the surface on the yz plane is: O %3D Taking the algebraic sum, the net electric flux through the cube is: Onet = 111
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: @net =01 + ®2 + ®3+ The flux through surface 1 is: 0, =0. + Ozz+®yz The flux through surface 2 is: 0,- The flux through surface 3 is: 03 = The flux through the surface on the xy plane is: 0,- The flux through the surface on the xz plane is: Ox2= The flux through the surface on the yz plane is: Oyz= Taking the algebraic sum, the net electric flux through the cube is: Onet = 111
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 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: Фnet — Ф1 + Ф2 + Фз + Фху + Фxz + Фуz The flux through surface 1 is: 01 =0. The flux through surface 2 is: 02= The flux through surface 3 is: 3 The flux through the surface on the xy plane is: The flux through the surface on the xz plane is: 0 The flux through the surface on the yz plane is: Oyz Taking the algebraic sum, the net electric flux through the cube is: Pnet
An infinite charged line penetrates a cubic surface as shown in the figure. The net electric flux through the surface is OE=0.3x10 NmC. The net charge (in nC) enclosed in the surface 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. 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