Concentric Cylindrical Conducting Shells 1 An infiinitely long solid conducting cylindrical shell of radius a =…
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Question “Concentric Cylindrical Conducting Shells 1 An infiinitely long solid conducting cylindrical shell of radius a =…”
Concentric Cylindrical Conducting Shells
1
An infiinitely long solid conducting cylindrical shell of radius
a = 4.8 cm and negligible thickness is positioned with its symmetry
axis along the z-axis as shown. The shell is charged, having a
linear charge density ?inner = -0.35 ?C/m. Concentric
with the shell is another cylindrical conducting shell of inner
radius b = 17.1 cm, and outer radius c = 21.1 cm. This conducting
shell has a linear charge density ? outer =
0.35?C/m.
1)
What is Ex(P), the x-component of the electric field
at point P, located a distance d = 9.7 cm from the origin along the
x-axis as shown?
N/C
2)
What is V(c) – V(a), the potential difference between the the
two cylindrical shells?
V
3)
What is C, the capacitance of a one meter length of this system
of conductors?
?F/m
4)
The magnitudes of the charge densities on the inner and outer
shells are now changed (keeping ?inner =
-?outer) so that the resulting potential difference
doubles (Vca,new = 2Vca,initial). How does
Cnew, the capacitance of a one meter length of the
system of conductors when the charge density is changed, compare to
C, the initial capacitance of a one meter length of the system of
conductors?
Cnew < C
Cnew = C
Cnew > C
5)
What is ?outer,new ?
?C/m
uter nner P(a0)
Answer
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<3J capa itan 0oo O ucni charge Cneuo c Sx10
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