Application Catalog


73 - Analysis of Capacitance of a Parallel Plate Capacitor <EL>


Overview
Analysis of Capacitance of a Parallel Plate Capacitor:Overview
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Two electrode plates are modeled and arranged in parallel, which has the basic structure of a capacitor. When the different electric potential is constantly applied to each plate, electric charge stored in the electrode plates varies with the relative permittivity of the dielectric material between the electrode plates.
This example presents the use of an electric field analysis to obtain the electric charges of both the air and the high permittivity material when they are placed between the plates of a capacitor as well as the capacitance.

Electric Field Distribution
The electric field distribution produced between the electrode plates when there is an electric potential difference is indicated in Fig. 1. A large electric field is concentrated in the corners of the electrode when the permittivity is air because more of the electric field expands to the air from the opposite electrode plate. Analysis of Capacitance of a Parallel Plate Capacitor:Electric Field Distribution
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Capacitance Calculation
Analysis of Capacitance of a Parallel Plate Capacitor:Capacitance Calculation
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The charge density produced on the surface of the electrode plate is indicated in Fig. 2. The surface electrode charge is larger than that of the air when the high permittivity material is used.
Analysis of Capacitance of a Parallel Plate Capacitor:Capacitance Calculation
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The capacitance is calculated using the surface electric charge and the given electric potential difference. The result is shown in Table 1.

Updated: 2011-02-28



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