a) A coaxial cable has acharged inner conductor (with charge +4.5 C and radius 3
ID: 1668701 • Letter: A
Question
a) A coaxial cable has acharged inner conductor (with charge +4.5 C and radius 3.364mm) and a surrounding oppositely charged conductor (with charge4.5 C and radius 9.605 mm).The Coulomb constant is 8.98755 × 109 N · m2/C2.Assume the region between the conductors is air, and neglect endeffects. What is themagnitude of the electric field halfway between the two cylindricalconductors?
Answer in units of V/m.
b) What is the capacitance of this cable?
Answer in units of nF. a) A coaxial cable has acharged inner conductor (with charge +4.5 C and radius 3.364mm) and a surrounding oppositely charged conductor (with charge4.5 C and radius 9.605 mm).
The Coulomb constant is 8.98755 × 109 N · m2/C2.Assume the region between the conductors is air, and neglect endeffects. What is themagnitude of the electric field halfway between the two cylindricalconductors?
Answer in units of V/m.
b) What is the capacitance of this cable?
Answer in units of nF.
Explanation / Answer
The magnitude of the electric field halfway between the twoconductors is E =ke /r = q /2oLr Where L = length of the cable =..........? r = radius = (a + b ) / 2 a = 3.364 mm b = 9.605 q = 4.5C The capacitance of the spherical capacitor is C = 2oL / ln(b/a)
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