A dipole is located at the origin, with charges +3 nC and -3 nCseparated by 4 m.

Question

A dipole is located at the origin, with charges +3 nC and -3 nCseparated by 4 m. Consider a spherical Gaussian surfacecentered on the origin of radius 80 m.
a) What is the electric flux through the Gaussiansurface? b) Now suppose you have a Gaussian sphere of radius1 m centered on the positive charge. What is the fluxthrough this Gaussian surface?
a) What is the electric flux through the Gaussiansurface? b) Now suppose you have a Gaussian sphere of radius1 m centered on the positive charge. What is the fluxthrough this Gaussian surface?

Explanation / Answer

(a). Electric fulx = ( 1/ ) * total net charge enclosedby the gaussian surface                         = ( 1/ ) ( +3nC + ( -3 nC ) )                         = 0 (b). Electric fulx = ( 1/ ) * total net charge enclosedby the gaussian surface                         = ( 1/ ) ( +3nC ) where = permitivity of free space = 8.85 * 10 ^ -12 C ^2/ N m ^ 2 SO, electric flux = ( 1/ 8.85* 10 ^ -12 C ^ 2 /N m ^ 2)* ( 3 * 10 ^ -9 C )                         = 0.3389 * 10 ^ 3 N m ^ 2 / C                         = ( 1/ ) ( +3nC ) where = permitivity of free space = 8.85 * 10 ^ -12 C ^2/ N m ^ 2 SO, electric flux = ( 1/ 8.85* 10 ^ -12 C ^ 2 /N m ^ 2)* ( 3 * 10 ^ -9 C )                         = 0.3389 * 10 ^ 3 N m ^ 2 / C

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