A solid conductor of circular cross section with a radius of
5mm
has a conductivity that varies with radius. The conductor is
20m
long, and there is a potential difference of
0.1V
dc between its two ends. Within the conductor,
H=10^(5)\rho ^(2)a_(\phi )(A)/(m)
. (a) Find
\sigma
as a function of
\rho
. (b) What is the resistance between the two ends?

Question

A solid conductor of circular cross section with a radius of

5mm

has a conductivity that varies with radius. The conductor is

20m

long, and there is a potential difference of

0.1V

dc between its two ends. Within the conductor,

H=10^(5)\rho ^(2)a_(\phi )(A)/(m)

. (a) Find

\sigma

as a function of

\rho

. (b) What is the resistance between the two ends?

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