# How to Calculate Capacitance and Potential Difference of a Cylindrical Capacitor

The capacitance of the cylindrical capacitor is approximately 2.53 x 10^-10 F. The applied potential difference needed to produce the charges on the cylinders is approximately 78.9 V.

## Calculating Capacitance and Potential Difference of a Cylindrical Capacitor

A cylindrical capacitor is made from two hollow, coaxial, iron cylinders with specific charges and dimensions. To calculate the capacitance of the cylindrical capacitor, we can use the formula:

**C = 2πε₀L / ln(b/a)**

Where:

**C** is the capacitance,

**ε₀** is the vacuum permittivity (approximately 8.854 x 10^-12 F/m),

**L** is the length of the cylinders,

**a** is the radius of the inner cylinder, and

**b** is the radius of the outer cylinder.

Plugging in the given values, we find that the capacitance is approximately 2.53 x 10^-10 F.

To calculate the applied potential difference needed to produce the charges on the cylinders, we can use the formula:

**V = Q/C**

Where:

**V** is the potential difference,

**Q** is the charge on the cylinders, and

**C** is the capacitance.

Plugging in the given values, we find that the potential difference is approximately 78.9 V.