An infinite sheet lies on the xz plane and the z-axis points outward from the page (not shown). A solid non-conducting sphere of radius R is placed at an h+r distance away from the infinite sheet. Use the following values of these quantities charge density of sphere ρ=25pC/m3, the charge density of the infinite sheet σ=45pC/m2, the radius of the solid sphere R=2.0m, the radius of the Gaussian sphere r=4.0m value of h=1.0m. (here 1pC means pico coulomb charge that is, 10−12C.)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter24: Electric Fields
Section: Chapter Questions
Problem 66PQ
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An infinite sheet lies on the xz plane and the z-axis points outward from the page (not shown). A solid non-conducting sphere of radius R is placed at an h+r distance away from the infinite sheet. Use the following values of these quantities charge density of sphere ρ=25pC/m3, the charge density of the infinite sheet σ=45pC/m2, the radius of the solid sphere R=2.0m, the radius of the Gaussian sphere r=4.0m value of h=1.0m. (here 1pC means pico coulomb charge that is, 10−12C.)

Given:

i) magnitude of electric field at point P1 and P2 is 2.54 N/c

ii) the net flux through the Gaussian sphere of radius r due to infinite sheet only is 0 

iii) the net flux through the Gaussian sphere of radius r due to the solid sphere only is 94.67 

iv)  the magnitude of electric field at point P2 and P3 due to solid sphere only is 0.471

v) the net flux through the Gaussian sphere of radius r is 94.67

Find:

a) x and y components of the net electric field at point P1

b) x and y components of the net electric field at point P2.

c) x and y components of the net electric field at point P3.

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