If the linear charge density of a circular ring of radius R that is placed in the xy -plane and centered around the origin is given by a(4) = 1, cos³ ¢ Write the linear charge density as a volume charge density in cylindrical coordinates. а. b. Calculate the total charge (Q) on the ring. C. Calculate the electric dipole moment (p) of the ring.

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If the linear charge density of a circular ring of radius R that is placed in the
xy –plane and centered around the origin is given by
λ(φ)λcos φ
Write the linear charge density as a volume charge density in
cylindrical coordinates.
а.
b.
Calculate the total charge (Q) on the ring.
C.
Calculate the electric dipole moment (p) of the ring.
Transcribed Image Text:If the linear charge density of a circular ring of radius R that is placed in the xy –plane and centered around the origin is given by λ(φ)λcos φ Write the linear charge density as a volume charge density in cylindrical coordinates. а. b. Calculate the total charge (Q) on the ring. C. Calculate the electric dipole moment (p) of the ring.
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