The plates of a spherical capacitor havi radii 37.0mm and 40.00 mm (a) calculate the capacitance. (b) What must be the plate area of a parallel plate capacitor with the same plate separation and capacitance?

Explanation

To solve the problem, we will break it down into two parts: calculating the capacitance of the spherical capacitor and then finding the plate area of a parallel plate capacitor that has the same capacitance and plate separation.

### Part (a): Calculate the Capacitance of the Spherical Capacitor

1. **Identify the given values:**
- Inner radius \( r_A = 37.0 \, \text{mm} = 37.0 \times 10^{-3} \, \text{m} \)
- Outer radius \( r_B = 40.0 \, \text{mm} = 40.0 \times 10^{-3} \, \text{m} \)

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