Question

For a cylindrical capacitor, the capacitance does not depend on which of the following values?

A) the permittivity constant
B) the radius of the inner conductor
C) the amount of charge on the conductors
D) the radius of the outer conductor
E) the length of the cylinde

Answer 1

The capacitance of a cylindrical capacitor does not depend on the amount of charge on the conductors. Instead, it depends on factors such as the permittivity constant, the radii of the inner and outer conductors, and the length of the cylinder. So the correct option is C.

Step-by-step explanation:

For a cylindrical capacitor, the capacitance is dependent on certain physical and electrical properties. In the case of such a capacitor, its capacitance does not depend on the amount of charge on the conductors (C). The capacitance of a cylindrical capacitor depends on the permittivity constant (ε0), the radius of the inner conductor (R1), the radius of the outer conductor (R2), and the length of the cylinder (l), but not on how much charge is stored.

To further clarify, the capacitance relies on the ability of a capacitor to store charge per unit potential difference, and this capability is influenced by the aforementioned properties, except the amount of charge since that is a result of applying a potential difference rather than an inherent property defining capacitance.

Answer 2

Capacitance of cylindrical capacitor does not depends on the amount of charge on the conductors

Step-by-step explanation:

Consider a cylindrical capacitor of length L, inner radius R₁ and outer radius R₂, permitivity ε₀ constant then capacitance of cylindrical capacitor is given by:

`C=(2\pi \epsilon_(o)L)/(ln(R_(2) )/(R_(1)) )`

From this equation it is clear that capacitance of cylindrical capacitor is independent of the amount of charge on the conductors where as directly proportional permitivity constant and length of cylinder where as inversely proportional to natural log of ratio of R₂ and R₁