Please fill in the blanks 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 theclosed surface.LWe 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 +@yzThe flux through surface 1 is: O1 = 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: 0yvThe flux through the surface on the xz plane is: 0yz=The flux through the surface on the yz plane is: OvzTaking the algebraic sum, the net electric flux through the cube is: net =111

The electric flux of a uniform electric field through an area is defined as the scalar product of…

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: Фпet 3 Ф1 + Ф2 + Фз + Фху + Фxz + 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: 0, ху The flux through the surface on the xz plane is: 0 xz The flux through the surface on the yz plane is: Ovz= 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: Фпet 3 Ф1 + Ф2 + Фз + Фху + Фxz + 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: 0, ху The flux through the surface on the xz plane is: 0 xz The flux through the surface on the yz plane is: Ovz= Taking the algebraic sum, the net electric flux through the cube is: Onet

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 70P: A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius...

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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 +®3+Oxy+xz+®yz ху X, The flux through surface 1 is: 0, = 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: ®xy= The flux through the surface on the xz plane is: Oxz= The flux through the surface on the yz plane is: 0, yz Taking the algebraic sum, the net electric flux through the cube is: Onet 111
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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. 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
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