**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 E_{x}(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 (V_{ca,new} = 2V_{ca,initial}). How does

C_{new}, 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?

C_{new} < C

C_{new} = C

C_{new} > C

5)

What is ?_{outer,new} ?

?C/m

## Answer

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