Calculate the first 3 terms in the multipole expansion of the electrostatic potential V for each of the following charge distributions: a) Charge q at ri = (a,0,0); charge -q at 2 = (-a, 0,0); charge q at 3 charge qat4 = (0, -a,0); so a total of four point charges b) Charge q at fi = (0,0, a); charge q at 2 = (0, 0, -a); and finally charge -2q at f3 = (0,0,0); so a total of three point charges (0, a, 0); and finally

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Calculate the first 3 terms in the multipole expansion of the electrostatic potential V for each
of the following charge distributions:
a) Charge q at ri = (a,0,0); charge -q at 2 = (-a, 0,0); charge q at 3
charge qat4 = (0, -a,0); so a total of four point charges
b) Charge q at fi = (0,0, a); charge q at 2 = (0, 0, -a); and finally charge -2q at f3 = (0,0,0); so
a total of three point charges
(0, a, 0); and finally
Transcribed Image Text:Calculate the first 3 terms in the multipole expansion of the electrostatic potential V for each of the following charge distributions: a) Charge q at ri = (a,0,0); charge -q at 2 = (-a, 0,0); charge q at 3 charge qat4 = (0, -a,0); so a total of four point charges b) Charge q at fi = (0,0, a); charge q at 2 = (0, 0, -a); and finally charge -2q at f3 = (0,0,0); so a total of three point charges (0, a, 0); and finally
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