Parallel Plate Capacitor

In parallel plate capacitor the two metallic plates are separated by the dielectric material which is made up plastic, wax paper, mica etc. Sometime peoples also create the air gap between the two plates. Hence, in this case the air acts as the dielectric between the two plates of the capacitor. This airgap is nothing but the vacuum created between the two metallic plates. Figure below shows the parallel plate capacitor.

cap6
From the figure it can be seen that, the capacitance of the parallel plate capacitor is depends upon cross-sectional area of the metallic plate i.e. “A” in meter^2, the distance between the two metallic plates i.e. “d” in meter and the dielectric constant of the material used in between the two plates i.e. εr. The parameter εr is also called as relative permittivity of the material. The εr value for the free space or air or vacuum is unity i.e. 1.
The parallel plate capacitor is given by the following equation.
Cap7
Where, ε0 is the permittivity of the air which has the constant value i.e. 8.854 ×10 ^-12 Farads/meter.
Thus the unit of Capacitance is given by,
Cap8
Sample Problem
1) If A=10 m2, d=5m, dielectric is air.
As we know that, The capacitance is given by,
Cap7
Here, dielectric is air.
Therefore, εr= 1.
Also, ε0= 8.854 ×10^-12 Farads/meter
Therefore,
Cap9

Construction of Parallel Plate Capacitor:
The important parameter of the capacitor is the permittivity of the dielectric material. As we change the dielectric material, the relative permittivity of the material changes. Hence the capacitance value of the capacitor also changes. The dielectric material used in the capacitor is always the insulating material and the metallic plates used in the capacitor are made up of the conductive material. This is mainly because to flow the electric charges through the plates and to store the electric charges around the di electric material. Therefore the metallic plates are made of the conducting material such as copper, aluminium etc and the dielectric is made up of the insulating material such as, wax paper, mica, ceramic, polymers etc.

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