The figure below shows the reference diagram of the non polarized capacitor. Non polarized capacitors are capacitors without positive or negative polarity.

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The plastic foil capacitor is non polarized by nature and the electrolytic capacitors are generally two capacitors in the series which are in the back to back hence the result is in the non polarized with half capacitance.

Polarized capacitor diagram. The nonpolarized capacitor requires the ac applications in the series or in parallel with the signal or power supply. The majority of electrolytic types of capacitors are polarised that is the dc voltage applied to the capacitor terminals must be of the correct polarity ie. The two electrodes of non polarized capacitors can be randomly inserted into the circuit and will not leak mainly used in circuits of coupling decoupling feedback compensation and oscillation.
Positive to the positive terminal and negative to the negative terminal as an incorrect polarisation will break down the insulating oxide layer and permanent damage may result. Since electrolytic capacitors are polarized i use a symbol shown below on my schematics. A solid liquid or gel electrolyte covers the surface of this oxide layer serving as the cathode or negative plate of the capacitor.
The positive or anode side of the capacitor is marked with a symbol. The typical polarized capacitor will look like the image below on the schematic. An electrolytic capacitor occasionally abbreviated e cap is a polarized capacitor whose anode or positive plate is made of a metal that forms an insulating oxide layer through anodizationthis oxide layer acts as the dielectric of the capacitor.
Table of capacitor symbols. Schematic symbol for polarized capacitors as shown in eagle. All polarised electrolytic capacitors have their polarity.
Capacitor schematic symbols capacitor polarized capacitor variable capacitor.

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