Charged Capacitor: Difference between revisions
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===A Mathematical Model=== | ===A Mathematical Model=== | ||
The mathematical model to the electric field of a charged capacitor is | The mathematical model to the electric field of a charged capacitor (near the center of the capacitor) is <math>E \approx {\frac{Q/A}{{\epsilon}_0}}</math>, where '''Q''' is the magnitude of the plate charges and '''A''' is the area of each plates. The direction is perpendicular to the plates. | ||
<br>The fringe field (field located near the center of the disks but right outside of the plates) is <math>E_{fringe} \approx {\frac{Q/A}{2{\epsilon}_0}} (\frac{s}{R})</math> | |||
===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 22:36, 16 April 2016
CLAIMED BY: GA HYUN OH
The Main Idea
A capacitor is when two uniformly, but oppositely (-Q and +Q), charged metal plates are held very close to each other with a separation of s.
This page is dedicated to understanding and calculating the electric field of a capacitor through definition, mathematical models, computational models, and example problems.
A Mathematical Model
The mathematical model to the electric field of a charged capacitor (near the center of the capacitor) is [math]\displaystyle{ E \approx {\frac{Q/A}{{\epsilon}_0}} }[/math], where Q is the magnitude of the plate charges and A is the area of each plates. The direction is perpendicular to the plates.
The fringe field (field located near the center of the disks but right outside of the plates) is [math]\displaystyle{ E_{fringe} \approx {\frac{Q/A}{2{\epsilon}_0}} (\frac{s}{R}) }[/math]
A Computational Model
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