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23 Nov 2019

Three charges are arranged in a linear array. The charge -2q isplaced at the origin, and two charges, each of +q are placed at(0,0,l) and (0,0,-l) respectively. (I know this is aquadrupole)

(a) Find the expression (exact) of the electric fieldE(x,y,z).

(b) Find the expression (exact) of the electric potentialPhi(x,y,z).

(c) Start with the exact expression Phi(x,y,z) and expand it upto terms containing the second order (l/r) where r=sqrt(x^2+y^2+z^2)

(d) Find the electric quadrupole moment tensor for this chargesystem.

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