A thin conducting cylindrical shell of radius a, carries a surface charge density > 0 (the thick- ness of the shell can be neglected). Based on Gauss Law the electric field due to this cylinder is given by SE b) Inside the cylinder 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
SE
b) Inside the cylinder r <a.
E = 0
σa f
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. rA) 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 SE b) Inside the cylinder r <a. E = 0 σa f 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. rA) for a) Outside the cylinder, at a particular distance r, r > a.
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