Capacitance
Capacitance Derivations
Derivations
Use the equations and steps below to drive the following capacitance equations.
STEP 1
Use Gauss’ Law to find the electric field between the plates.
STEP 2
Find the electric potential difference across the plates.
STEP 3
Solve for the capacitance.
Answers are on your flowchart.
Parallel Plate Capacitor
References:
- Electric Field - See your notes
- Potential Difference - See your notes
Cylindrical Capacitor
References:
- Electric Field - See your notes
- Potential Difference - See your notes
Spherical Capacitor
References:
- Electric Field - See your notes
- Potential Difference - See your notes
Isolated Spherical Capacitor
References:
- Electric Field - See your notes
- Potential Difference - See your notes
All Graphics from OpenStax.com; University Physics Volume 2; https://cnx.org/contents/eg-XcBxE@15.2:FYJxWFC_@6/8-1-Capacitors-and-Capacitance; without any changes.
© 1999-2019, Rice University. Except where otherwise noted, content created on this site is licensed under a Creative Commons Attribution 4.0
David Carroll
www.GravityKills.net