A cylindrical capacitor is constructed using two coaxial cylinders of the same length 10cm of radii 2mm and 4mm. (a) calculate the capacitance (b) another capacitor of the same length is constructed with cylinders of radii 4mm and 8mm. Calculate the capacitance .

Explanation

To solve the problem of calculating the capacitance of two cylindrical capacitors, we will follow these steps:

### Given Data:
1. Length of both capacitors, \( l = 10 \, \text{cm} = 0.1 \, \text{m} \)
2. For the first capacitor:
- Inner radius, \( a = 2 \, \text{mm} = 0.002 \, \text{m} \)
- Outer radius, \( b = 4 \, \text{mm} = 0.004 \, \text{m} \)
3. For the second capacitor:
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