Solving Spherical Capacitors: Find C1 & C2 in Parallel

Click For Summary
SUMMARY

The discussion focuses on solving for the capacitance values C1 and C2 of spherical capacitors arranged in parallel. The solution involves modeling the inner sphere and the inner surface of the middle shell as one capacitor, and the outer surface of the middle shell and the outer shell as another. The terminals A and G represent the connection points for the resultant capacitor configuration. This approach clarifies the parallel connection of the capacitors based on their geometric arrangement.

PREREQUISITES
  • Understanding of spherical capacitor theory
  • Familiarity with capacitance calculations
  • Knowledge of electric field concepts
  • Basic circuit analysis skills
NEXT STEPS
  • Study the derivation of capacitance formulas for spherical capacitors
  • Explore the concept of capacitors in parallel and series configurations
  • Learn about electric field distribution in spherical geometries
  • Investigate practical applications of spherical capacitors in electronic circuits
USEFUL FOR

Physics students, electrical engineering students, and anyone interested in understanding the principles of capacitors and their configurations in circuit design.

unscientific
Messages
1,728
Reaction score
13

Homework Statement



2ps0e85.png


Homework Equations





The Attempt at a Solution



Working backwards I found that adding C1 (of radius a and b) and C2 (of radius b and c) in parallel gives the answer. Not sure why they can be modeled as capacitors in parallel though..
 
Physics news on Phys.org
Consider the inner sphere and the inner surface of the middle shell as one capacitor, (blue) and the outer surface of the middle shell and the outer shell as the other one (yellow). A and G are the terminals of the resultant capacitor.
How are the capacitors connected? ehild
 

Attachments

  • sphcap.JPG
    sphcap.JPG
    11.9 KB · Views: 485

Similar threads

Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
3
Views
2K
Replies
6
Views
3K
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K