A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin.Determine the electric flux through this surface.Select one:68 N m2/C62 N m2/C45 N m2/C79 N m2/C23 N m2/C
Question
A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin.Determine the electric flux through this surface.Select one:68 N m2/C62 N m2/C45 N m2/C79 N m2/C23 N m2/C
Solution
The electric flux through a closed surface surrounding a charge is given by Gauss's Law, which states that the electric flux through a closed surface is equal to the total charge enclosed divided by the permittivity of free space (ε₀).
However, in this case, the charge is not enclosed within the sphere. The linear charge density is spread along the x-axis, which passes through the center of the sphere. Therefore, there is no charge enclosed within the sphere.
So, the electric flux through the sphere is zero. None of the options provided are correct.
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