Consider the imaginary closed cube shown. Note carefully that a coordinate system is given in the diagram, with the +x direction coming out of the screen toward you. TOP Front Right Bottom (opposite top) The electric field everywhere in space is given by E = -3k N/C where "k-hat" is a unit vector in the +z direction and the "N/C" are the units newtons per coulomb Using the conventions discussed in lecture, determine the sign of the electric flux through each o the following surfaces: • The electric flux through the top surface is [ Select] • The electric flux through the right surface is [ Select ] • The electric flux through the front surface is [Select] • The electric flux through the bottom surface is [ Select ]

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Consider the imaginary closed cube shown. Note carefully that a coordinate system is given in the
diagram, with the +x direction coming out of the screen toward you.
TOP
Front
Righ
Bottom
(opposite
(dat,
The electric field everywhere in space is given by
E = -3k N/C
where "k-hat" is a unit vector in the +z direction and the "N/C" are the units newtons per coulomb.
Using the conventions discussed in lecture, determine the sign of the electric flux through each of
the following surfaces:
• The electric flux through the top surface is ( Select ]
• The electric flux through the right surface is [ Select]
• The electric flux through the front surface is
[ Select ]
• The electric flux through the bottom surface is [ Select ]
>
>
>
Transcribed Image Text:Consider the imaginary closed cube shown. Note carefully that a coordinate system is given in the diagram, with the +x direction coming out of the screen toward you. TOP Front Righ Bottom (opposite (dat, The electric field everywhere in space is given by E = -3k N/C where "k-hat" is a unit vector in the +z direction and the "N/C" are the units newtons per coulomb. Using the conventions discussed in lecture, determine the sign of the electric flux through each of the following surfaces: • The electric flux through the top surface is ( Select ] • The electric flux through the right surface is [ Select] • The electric flux through the front surface is [ Select ] • The electric flux through the bottom surface is [ Select ] > > >
Expert Solution
Concept and Principle:

Electric flux is the number of electric force lines that intersect a given area. The electric flux through a surface is given by Gauss law.

Electric flux is given by,

ϕE=ES

Here E is the electric field and S is the area of the surface.

The given system is as shown in fig (1).

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