A thin dielectric rod, running from z=-a to z=+a, carries thelinear charge

?=(?_0)cos(?z/a). Find the first non-zero termin the multipole expansion of the potential. Express the potentialin spherical cooardinates.

Please help.

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A thin dielectric rod, running from z=-a to z=+a, carries thelinear charge

?=(?_0)cos(?z/a). Find the first non-zero termin the multipole expansion of the potential. Express the potentialin spherical cooardinates.

Please help.

## Answers ( 1 )

_{1}= 0 we get_{2}^{2}=(P_{1}-P_{2}) + ? g (y_{1}-y_{2})_{1}= P_{2}_{1}= y_{2}_{2}= ?(2 g h)_{2}- y_{1}) =(P_{atm}- P_{2}) + (1 / 2) ?(v_{1}^{2}- v_{2}^{2})_{2}= v_{1}_{2}- y_{1}= y_{max}_{o}+ ? g h_{atm}= P_{2}+ ? gy_{max}_{2}is zero weget_{max}= P_{atm}/? g_{o}/ ? g