Taking the dielectric constant (k) of air as 1, the capacitance per metre is 2πε₀ / ln(b/a) See link.
For a 1m length:
ε₀=8.85 × 10^-12 C^2 N^-1 m^-2.
C = 2πε₀ / ln(100/20) = 3.46 x 10^⁻¹¹ F
Energy stored = ½CV^² = ½ x 3.46 x 10^⁻¹¹ x 500^² = 4.32x10^⁻⁶ J
A capacitor is formed from two long conducting cylindrical shells which arc coaxial, and have radii...
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A capacitor is composed of two cylindrical conducting
shells. The inner shell has a radius A, is centered inside
the outer shell and has a positive surface charge density
+3s. The outer shell has radius B = 3A and negative
surface charge density -s. Assume the length of the
conductors is ?infinitely? long compared to the radius B
so that you can ignore all edge effects. Let r be the
vector pointing from the center of the capacitor to any...
Problem 12 Constants Part A A0.360-m-long cylindrical capacitor consists of a solid conducting core with a radius of 1.20 mm and an outer hollow conducting tube with an inner radius of 2.05 mm. The two conductors are separated by air and charged to a potential difference of 6.30 V Calculate the charge per length for the capacitor νο ΑΦ C/m Submit Request Answer Part B Calculate the total charge on the capacitor Vο ΑΣφ Problem 12 Part C Constants A0.360-m-long...
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....