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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 p = 38 pC/m³, charge density of the infinite sheet o = -44 pC/m2, radius of the solid sphere R = 2.7 m, radius of the Gaussian sphere r = 5.4 m value of h = 1.35 m. (here 1 pC means pico coulomb charge that is, 10-12 C.) Step 1 Consider the infinite sheet only for this step a) Find the magnitude of electric field at point P and P2 due to infinite sheet only. (Note: magnitude of a vector is a positive quantity.) Magnitude of electric field at point P Give your answer to at least three significance digits. N/C Magnitude of electric field at point P2 Give your answer to at least three significance digits. N/C b) Find the net flux through the Gaussian sphere of radius r due to infinite sheet only. Flux through the Gassian surface Give your answer to at least three significance digits. N. m? /C 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. Flux thgourh the Gassian surface Give your answer to at least three significance digits. N. m2/C

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 = 38 pC/m³, charge density of the infinite sheet o = -44 pC/m2, radius of the solid sphere R = 2.7 m, radius of the Gaussian sphere r = 5.4 m value of h = 1.35 m. (here 1 pC means pico coulomb charge that is, 10-12 C.) Step 1 Consider the infinite sheet only for this step a) Find the magnitude of electric field at point P and P2 due to infinite sheet only. (Note: magnitude of a vector is a positive quantity.) Magnitude of electric field at point P Give your answer to at least three significance digits. N/C Magnitude of electric field at point P2 Give your answer to at least three significance digits. N/C b) Find the net flux through the Gaussian sphere of radius r due to infinite sheet only. Flux through the Gassian surface Give your answer to at least three significance digits. N. m? /C 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. Flux thgourh the Gassian surface Give your answer to at least three significance digits. N. m2/C

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Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅ m^2/C^2 . Vacuum permittivity, ϵ0 = 8.854×10^−12 F/m . Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C . Mass of one electron, me = 9.10938356×10^−31 kg . Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
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 = 38 pC/m³, charge density of the infinite sheet o = -44 pC/m2, radius of the solid sphere R = 2.7 m, radius of the Gaussian sphere r = 5.4 m value of h = 1.35 m. (here 1 pC means pico coulomb charge that is, 10-12C.) Step 1 Consider the infinite sheet only for this step a) Find the magnitude of electric field at point P and P2 due to infinite sheet only. (Note: magnitude of a vector is a positive quantity.) Magnitude of electric field at point P Give your answer to at least three significance digits. N/C Magnitude of electric field at point P2 Give your answer to at least three significance digits. N/C b) Find the net flux through the Gaussian sphere of radius r due to infinite sheet only. Flux through the Gassian surface Give your answer to at least three significance digits. N. m? /C 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. Flux thgourh the Gassian surface Give your answer to at least three significance digits. N. m2/C
Transcribed Image Text: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 = 38 pC/m³, charge density of the infinite sheet o = -44 pC/m2, radius of the solid sphere R = 2.7 m, radius of the Gaussian sphere r = 5.4 m value of h = 1.35 m. (here 1 pC means pico coulomb charge that is, 10-12C.) Step 1 Consider the infinite sheet only for this step a) Find the magnitude of electric field at point P and P2 due to infinite sheet only. (Note: magnitude of a vector is a positive quantity.) Magnitude of electric field at point P Give your answer to at least three significance digits. N/C Magnitude of electric field at point P2 Give your answer to at least three significance digits. N/C b) Find the net flux through the Gaussian sphere of radius r due to infinite sheet only. Flux through the Gassian surface Give your answer to at least three significance digits. N. m? /C 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. Flux thgourh the Gassian surface Give your answer to at least three significance digits. N. m2/C
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