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The linear charge density on a ring of radius a is given by ρℓ = qa(cos⁡ϕ−sin⁡2ϕ). Show that: (a) qT( monopole moment ) = 0 (b) p→ (dipole moment ) = (πqa, 0, 0) (c) Qij (quadrupole moment) = 32πqa2(0 −1 0 −1 0 0 0 0 0)

The linear charge density on a ring of radius a is given by ρℓ = qa(cos⁡ϕ−sin⁡2ϕ). Show that: (a) qT( monopole moment ) = 0 (b) p→ (dipole moment ) = (πqa, 0, 0) (c) Qij (quadrupole moment) = 32πqa2(0 −1 0 −1 0 0 0 0 0)

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16.) The linear charge density on a ring of radius a is given by ρ ℓ = q a ( cos ⁡ ϕ − sin ⁡ 2 ϕ ) . Show that: (a) q T ( monopole moment ) = 0 (b) p → (dipole moment ) = ( π q a , 0 , 0 ) (c) Q i j (quadrupole moment) = 3 2 π q a 2 ( 0 − 1 0 − 1 0 0 0 0 0 )

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