High School

We appreciate your visit to The plates of a spherical capacitor have radii 36 9 mm and 41 3 mm a Calculate the capacitance a Number Units. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The plates of a spherical capacitor have radii 36.9 mm and 41.3 mm.

(a) Calculate the capacitance.

(a) Number: _____ Units: _____

Answer :

a) The capacitance of the spherical capacitor is 3.07 × 10^(-12) F

b) Number 3.07 × 10^(-12) Units F

The step-by-step calculations:

1. Given radii: r₁ = 36.9 mm and r₂ = 41.3 mm.

Convert radii to meters:

r₁ = 0.0369 m

r₂ = 0.0413 m

2. Use the formula for the capacitance of a spherical capacitor:

C = (4πε₀r₁r₂) / (r₂ - r₁)

3. Substitute the values into the formula:

C = (4π × 8.85 × 10^(-12) × 0.0369 × 0.0413) / (0.0413 - 0.0369) F

4. Perform the calculations:

C = (4π × 8.85 × 10^(-12) × 0.001523) / 0.0044 F

C = (1.35 × 10^(-14)) / 0.0044 F

C = 3.07 × 10^(-12) F

5. Convert the result to scientific notation:

C = 3.07 × 10^(-12) F

So, the capacitance of the spherical capacitor is 3.07 × 10^(-12) F.

Thanks for taking the time to read The plates of a spherical capacitor have radii 36 9 mm and 41 3 mm a Calculate the capacitance a Number Units. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada