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 theelectric flux through the closed surface.yELLWe 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 + Ф, +Ф; + Ф.ху+ 0xz+@yzThe 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: Oxy=The flux through the surface on the xz plane is: Oxz=The flux through the surface on the yz plane is: OyzTaking the algebraic sum, the net electric flux through the cube is: Onet =1111

Given data: The edge of the cube is, L The uniform electric field is in the positive direction 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. y 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: Фрet 3 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: O3 = The flux through the surface on the xy plane is: O The flux through the surface on the xz plane is: 0 xz= The flux through the surface on the yz plane is: Oyz= Taking the algebraic sum, the net electric flux through the cube is: Onet %3D 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. y 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: Фрet 3 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: O3 = The flux through the surface on the xy plane is: O The flux through the surface on the xz plane is: 0 xz= The flux through the surface on the yz plane is: Oyz= Taking the algebraic sum, the net electric flux through the cube is: Onet %3D 111

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 25P: A square surface of area 2 cm2 is in a space of uniform electric field of magnitude 103 N/C . The...

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