A uniform surface charge density of -7.5 nC/m^2 is distributed over the entire x

Question

A uniform surface charge density of -7.5 nC/m^2 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-m^2/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.) 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 field

Explanation / Answer

a) E=q/4piE0*r^2

as q here is charge enclosed in gaussian surface

Flux=E.A=q/epsilon_nougt

7.5e-9/8.854e-12=847.07 Nm^2/C

b) Answer is 1 choice as it gives constant size and symmetry everywhere along this surface

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