A point charge qq is at the point x=0,y=0,z=0.x=0,y=0,z=0. An imaginary hemispherical surface is made by starting with a spherical surface of radius RR centered on the point x=0,y=0,z=0x=0,y=0,z=0 and cutting off the half in the region z<0.z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if (a) q=8.00 nCq=8.00 nC and R=0.100 m;R=0.100 m; (b) q=−4.00 nCq=−4.00 nC and R=0.100 m;R=0.100 m; (c) q=−4.00 nCq=−4.00 nC and R=0.200 m;.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter24: Electric Fields
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Problem 14PQ: A particle with charge q on the negative x axis and a second particle with charge 2q on the positive...
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A point charge qq is at the point x=0,y=0,z=0.x=0,y=0,z=0. An imaginary hemispherical surface is made by starting with a spherical surface of radius RR centered on the point x=0,y=0,z=0x=0,y=0,z=0 and cutting off the half in the region z<0.z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if (a) q=8.00 nCq=8.00 nC and R=0.100 m;R=0.100 m; (b) q=−4.00 nCq=−4.00 nC and R=0.100 m;R=0.100 m; (c) q=−4.00 nCq=−4.00 nC and R=0.200 m;.

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