Question

The plates of a spherical capacitor have radii 34.1 mm and 38.0 mm (a) Calculate the capacitance.

Answer 1

The capacitance of a spherical capacitor can be calculated using the formula provided above, substituting the given radii values in meters and the permittivity of free space constant.

Step-by-step explanation:

The subject of the question is calculating the capacitance of a spherical capacitor. To find the capacitance of a spherical capacitor where the inner and outer sphere radii are given, we can use the formula:

C = 4πε0 (r1r2) / (r2 - r1)

where ε0 is the permittivity of free space (8.85 × 10-12 F/m), r1 is the radius of the inner sphere, and r2 is the radius of the outer sphere.

Using the given radii of 34.1 mm (0.0341 m) and 38.0 mm (0.0380 m), the capacitance can be calculated as follows:

C = 4π(8.85 × 10-12 F/m) (0.0341 m × 0.0380 m) / (0.0380 m - 0.0341 m).