Question

A 57.40-pF cylindrical capacitor carries a charge of 1.740 µC. The capacitor has a length of 1.400 ✕ 10⁻³ m.

(a) What is the potential difference across the capacitor?
V

(b) If the radial separation between the two cylinders is 6.380 ✕ 10⁻⁴ m, what are the inner and outer radii of the cylindrical conductors? (Use 8.854 ✕ 10⁻¹² C²/(N · m²) for the permittivity of free space. Give your answers to at least four decimal places.)

rin	=	m
rout	=	m

Answer 1

Given

we know that

so

therefore

we also know that the capacitance of the cylindrical capacitor is

where b and a are the radii of the inner and outer radii of the cylindrical conductors.

now given that the radial separation between the two cylinders is 6.380 ✕ 10⁻⁴ m.so

therefore

or,

or,

or,

or,

or,

or,

or,

and