An infinite sheet lie on the xZ plane and z axis points outward from the page (not shown). A solid non-conducting sphere of radius R is placed at h+r distance away from the infinite sheet. Use the following values of these quantities charge density of sphere p=-33pC/m3, charge density of the infinite sheet o=21pC/m2, radius of the solid sphere R=4.0m, radius of the Gaussian sphere r=2.0m value of h=4.0m. (here 1pC means pico coulomb charge that is, 10^-12 C.) Step 1 Consider the infinite sheet only for the two questions a) Find the net flux through the Gaussian sphere of radius r due to infinite sheet only.

Given

Density of sphere $\left(\rho \right)$                     = -33 $\mathrm{pC}/{\mathrm{m}}^3$

Density of infinite sheet $\left(\sigma \right)$          = 21 $\mathrm{pC}/{\mathrm{m}}^2$

Radius of the sloid sphere (R)       = 4 m

Radius of the Gaussian sphere (r) = 2 m

h = 4 m