A thin conducting cylindrical shell of radius a, carries a surface charge density o> 0 (the thick- ness of the shell can be neglected). Based on Gauss Law the electric field due to this cylinder is given by E 0 E = for r < a for r > a TEO Determine the corresponding electric potential V(r) as a function of r and relative to a fixed arbitrary reference point A (i.e. rA) for a) Outside the cylinder, at a particular distance r, r > a.

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A thin conducting cylindrical shell of radius a, carries a surface charge density o> 0 (the thick-
ness of the shell can be neglected). Based on Gauss Law the electric field due to this cylinder is
given by
(E = 0
E
= î
σα
TEO
for r <a
for r > a
Determine the corresponding electric potential V(r) as a function of r and relative to a fixed
arbitrary reference point A (i.e. ™A) for
a) Outside the cylinder, at a particular distance r, r>a.
Transcribed Image Text:A thin conducting cylindrical shell of radius a, carries a surface charge density o> 0 (the thick- ness of the shell can be neglected). Based on Gauss Law the electric field due to this cylinder is given by (E = 0 E = î σα TEO for r <a for r > a Determine the corresponding electric potential V(r) as a function of r and relative to a fixed arbitrary reference point A (i.e. ™A) for a) Outside the cylinder, at a particular distance r, r>a.
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