The electric potential relative to infinity, of a certain charge distri- bution with a total charge Q is given by Q e-2r/a V = 4T €0 where a is some positive constant. The corresponding electric field is given by († is a unit vector along the radial direction) 2r (A) Ē = le-2r/a p. 1+ 4T€or2 a -2r/a î. (В) Е. 1+ 4T€gr2 2a -2r/a p. (С) Е. 4T €or2 2a (D) Ẽ =. 4T €or Q 2r 1+ e-2r/a p. - a (E) : -2r/a f. - -

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter26: Electric Potential
Section: Chapter Questions
Problem 76PQ: An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of...
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The electric potential relative to infinity, of a certain charge distri-
bution with a total charge Q is given by
Q e-2r/a
V =
4T€0
where a is some positive constant. The corresponding electric field is given
by (î is a unit vector along the radial direction)
2r
1+
a
(A) Ē =
-2r/a p.
e
4T€or2
Q
-2r/a î.
(В) Е-
1+
2a
4T€or2
(C) Ē:
-2r/a ↑.
2a
(D) Ē =.
2r
1+
a
-2r/a f.
e
2r
(E) Ё -
-2r/a f.
4T€gr2
a
Transcribed Image Text:The electric potential relative to infinity, of a certain charge distri- bution with a total charge Q is given by Q e-2r/a V = 4T€0 where a is some positive constant. The corresponding electric field is given by (î is a unit vector along the radial direction) 2r 1+ a (A) Ē = -2r/a p. e 4T€or2 Q -2r/a î. (В) Е- 1+ 2a 4T€or2 (C) Ē: -2r/a ↑. 2a (D) Ē =. 2r 1+ a -2r/a f. e 2r (E) Ё - -2r/a f. 4T€gr2 a
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