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1. The electric potential of some charge configuration is given by the expression
v = (c1 / r) * exp(-c2r)
where c1 and c2 are constants.
a. Show that the volume charge density p associated with this electric potential
is given by
p = E0c1(4 * pi * delta3(r) - (c22e-c2r/r))
where ?3(r) (delta3(r)) is the 3D Dirac-Delta function.
b. Use your result from (a) to determine the total charge Q associated with the
charge distribution.
![1. The electric potential of some charge configuration is given by the expression
C₁
V = =-1¹ exp(-c₂r)
where c₁ and c₂ are constants.
a.
Show that the volume charge density p associated with this electric potential
is given by
b.
P
= €0₁ [46¹(r) _ ²²-1²]
²0-car
r
where 8³ (r) is the 3D Dirac-Delta function.
Use your result from (a) to determine the total charge Q associated with the
charge distribution.](https://content.bartleby.com/qna-images/question/c4c50886-73e7-479b-9137-86627f5b32fe/e94d83e3-4e58-4836-ba31-819b5ca04be0/sxmd8ht_processed.png)
Transcribed Image Text:1. The electric potential of some charge configuration is given by the expression
C₁
V = =-1¹ exp(-c₂r)
where c₁ and c₂ are constants.
a.
Show that the volume charge density p associated with this electric potential
is given by
b.
P
= €0₁ [46¹(r) _ ²²-1²]
²0-car
r
where 8³ (r) is the 3D Dirac-Delta function.
Use your result from (a) to determine the total charge Q associated with the
charge distribution.
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