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 ρ=44pC/m^3, the charge density of the infinite sheet σ=−20pC/m^2, the radius of the solid sphere R=4.0m, the radius of the Gaussian sphere r=8.0m value of h=2.0m. (here 1pC means pico coulomb charge that is, 10^−12C.) Step 1 Consider the infinite sheet only for this step a) Find the magnitude of the electric field at points P1 and P2 due to infinite sheet only. (Note: the magnitude of a vector is a positive quantity.) b) Find the net flux through the Gaussian sphere of radius r due to infinite sheet only. Step 2 Consider the solid non-conducting sphere only for this step c) Find the net flux through the Gaussian sphere of radius r due to the solid sphere only.

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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 ρ=44pC/m^3, the charge density of the infinite sheet σ=−20pC/m^2, the radius of the solid sphere R=4.0m, the radius of the Gaussian sphere r=8.0m value of h=2.0m. (here 1pC means pico coulomb charge that is, 10^−12C.)

Step 1 Consider the infinite sheet only for this step

a) Find the magnitude of the electric field at points P1 and P2 due to infinite sheet only. (Note: the magnitude of a vector is a positive quantity.)

b) Find the net flux through the Gaussian sphere of radius r due to infinite sheet only.

Step 2 Consider the solid non-conducting sphere only for this step

c) Find the net flux through the Gaussian sphere of radius r due to the solid sphere only.

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