## Capacitors in Parallel – Class 12 | Chapter – 2 | Physics Short Notes Series PDF for NEET & JEE

Capacitors in Parallel: When capacitors are connected in parallel, their positive terminals are connected to a common point, and their negative terminals are also connected to a common point. This creates a circuit where multiple capacitors share a common voltage. The total capacitance of a parallel combination of capacitors is given by:

Ctotal = C+ C+…… + Cn

where Ctotal is the total capacitance of the combination, and C1, C2, C3, …, Cn are the capacitances of the individual capacitors.

## Capacitors in Parallel

In a parallel combination of capacitors, the total capacitance is always greater than the capacitance of any individual capacitor. The total capacitance increases as the number of capacitors in the parallel combination increases. This is because the total capacitance of a parallel combination is directly proportional to the sum of the capacitances of the individual capacitors.

Parallel combination of capacitors is used in applications where a large total capacitance is required, such as in power supply circuits, where capacitors are used to store and release energy, and in coupling and decoupling circuits, where capacitors are used to isolate different sections of a circuit.

## Applications of Capacitors in Parallel

Capacitors in parallel are used in a variety of applications, including:

• Power Supplies: Capacitors in parallel can be used in power supply circuits to store and release energy, helping to filter and smooth out the output voltage and provide a stable DC voltage.
• Coupling and Decoupling Circuits: Capacitors in parallel can be used to isolate or decouple different sections of a circuit, preventing the transfer of unwanted signals or noise between those sections.
• Energy Storage: Capacitors in parallel can be used to store energy and release it quickly when needed, making them useful in applications such as flash photography, electronic discharge systems, and energy harvesting.
• Filtering: Capacitors in parallel can be used in filter circuits to remove unwanted frequency components from a signal, and to smooth out any fluctuations in a DC voltage.
• Bypassing: Capacitors in parallel can be used as bypass capacitors to provide a low-impedance path for AC signals, helping to reduce noise and improve the stability of a circuit.
• DC-DC Converters: Capacitors in parallel can be used in DC-DC converters to store and release energy as needed, allowing the conversion of one DC voltage level to another.

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