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Unformatted text preview: 72. The radius of the cylinder (0.020 m, the same as rB ) is denoted R, and the ﬁeld magnitude there
(160 N/C) is denoted EB . The electric ﬁeld beyond the surface of the sphere follows Eq. 2412, which
expresses inverse proportionality with r:
R
E 
=
EB
r for r ≥ R . (a) Thus, if r = rC = 0.050 m, we obtain E  = (160)(0.020)/(0.050) = 64 N/C.
(b) Integrating the above expression (where the variable to be integrated, r, is now denoted ) gives
the potential diﬀerence between VB and VC .
r VB − VC =
R EB R d = EB R ln r
R = 2. 9 V . (c) The electric ﬁeld throughout the conducting volume is zero, which implies that the potential there
is constant and equal to the value it has on the surface of the charged cylinder: VA − VB = 0. ...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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