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Capacitance

Capacitance Derivations

CapacitanceCapacitance Derivations

Derivations

Use the equations and steps below to drive the following capacitance equations.
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Gauss' Law

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Electric Potential Difference

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Capacitance

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 Parallel Plate Capacitor

References:
  • Electric Field - See your notes
  • Potential Difference - See your notes
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Solution

Cylindrical Capacitor Cylindrical Capacitor

References:
  • Electric Field - See your notes
  • Potential Difference - See your notes
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Solution

Spherical Capacitor Spherical Capacitor

References:
  • Electric Field - See your notes
  • Potential Difference - See your notes
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Solution

Isolated Spherical Capacitor Isolated Spherical Capacitor

Solution

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.


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www.GravityKills.net
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