A charge -2q is placed at the origin and two charges of q each are placed at a distance a on both sides of the origin along the z-axis. a) What is the volume charge distribution p(r) of this arrangement of charges? Use delta functions. b) Determine the monopole and dipole moments of this arrangement of charges. c) Show that the quadrupole moment is given by -1 0 0 Q = 2qa? -1 0
A charge -2q is placed at the origin and two charges of q each are placed at a distance a on both sides of the origin along the z-axis. a) What is the volume charge distribution p(r) of this arrangement of charges? Use delta functions. b) Determine the monopole and dipole moments of this arrangement of charges. c) Show that the quadrupole moment is given by -1 0 0 Q = 2qa? -1 0
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![A charge -2q is placed at the origin and
two charges of q each are placed at a
distance a on both sides of the origin along
the z-axis.
a) What is the volume charge distribution
p(r) of this arrangement of charges? Use
delta functions.
b) Determine the monopole and dipole
moments of this arrangement of charges.
c) Show that the quadrupole moment is
given by
-1
Q = 2qa?
-1 0
0 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbfc0323d-928e-40b1-9320-17dacd06bb07%2F1c1954ef-af94-4241-be95-510765089f99%2Fp6oh3xc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A charge -2q is placed at the origin and
two charges of q each are placed at a
distance a on both sides of the origin along
the z-axis.
a) What is the volume charge distribution
p(r) of this arrangement of charges? Use
delta functions.
b) Determine the monopole and dipole
moments of this arrangement of charges.
c) Show that the quadrupole moment is
given by
-1
Q = 2qa?
-1 0
0 2
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