Uniform surface charge density of +7.5 nC/m2 is distributed over the entire xy p
ID: 1430441 • Letter: U
Question
Uniform surface charge density of +7.5 nC/m2 is distributed over the entire xy plane. What would be the electric flux through a spherical Gaussian surface centered on the origin and having a radius of 4.7 cm? N-m2/C Suppose we now seek to relate this flux to the electric field caused by the plane. The above would be a good Gaussian surface choice because: (Select all that apply.) Q the electric field has a constant size everywhere along this surface the electric field makes a constant angle with respect to n of the surface N/A - this would be a terrible surface choice for finding the electric fieldExplanation / Answer
a) area of xy plane contained inside sphere .
A = pi R^2 = pi ( 0.047^2) = 6.94 x 10^-3 m^2
Q = surface density x area = 7.5 x 10^-9 x 6.94 x 10^-3 = 5.205 x 10^-11 C
From gauss Law,
flux= Qin / e0
flux = (5.205 x 10^-11) / (8.854 x 10^-12)
flux = 5.88 N m^2 / C
b) N/A -this would be a terrible surafce choice for finding the electric field.
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