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.EL3LWe 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 + ФуzThe 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: OxyThe flux through the surface on the xz plane is: 0 xzThe 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

Let us assume a cube with an edge length L that is immersed in a uniform electric field E along its…

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

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. 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. 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
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
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 + Ф3 + Фху + Ф xz Oyz + The flux through surface 1 is: 0ı=0. The flux through surface 2 is: The flux through surface 3 is: 03 %3D 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: Oyz Taking the algebraic sum, the net electric flux through the cube is: Onet = 111
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Region (roa) 1 Region 11 (r
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
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?