Final answer:
The capacitance of two coaxial cylinders depends on the geometry of the conductor arrangement. The formula to calculate the capacitance is shown above, with the term (1/ln(b/a)) representing the natural logarithm of the ratio of the radii of the cylinders. If the outer cylinder is grounded, its potential is considered to be zero in the calculation.
Step-by-step explanation:
In a cylindrical capacitor, the capacitance depends only on the geometry of the conductor arrangement.
To find the capacitance of two coaxial cylinders, you can use the formula:
C = (2πε₀L) / ln(b/a)
Where C is the capacitance, ε₀ is the permittivity of free space, L is the length of the cylinders, and a and b are the radii of the inner and outer cylinders respectively.
If the outer cylinder is grounded, you can consider it as being at a potential of zero, and the formula for capacitance becomes:
C = (2πε₀L) / ln(b/a)
where the term (1/ln(b/a)) represents the natural logarithm of the ratio of the radii of the cylinders.