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A cylinder of radius R and height 2R is centered at the origin of a coordinate...

A cylinder of radius R and height 2R is centered at the origin of a coordinate system. The axis of the cylinder lies on the z axis. The cylinder has a volume charge density given by p= p0(1-z/R)*(sin ^2(phi)). Compute the quadruple moment. (Please calculate all the components of Qij)

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Answer #1

The integrals can be solved using Mathematica.

Also, Q_12 = Q_21, Q_13=Q_31 and Q_23=Q_32

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