# Formula For Calculating Parallel Circuit

A parallel circuit is a circuit in which two or more components are connected across the same voltage source. This means that the voltage across each component is the same, but the current through each component can be different.

The formula for calculating the total resistance of a parallel circuit is: ``` Rt = 1 / (1 / R1 + 1 / R2 + ... + 1 / Rn) ``` where: *

### Rt

is the total resistance of the circuit *

,

, ...,

### Rn

are the resistances of the individual components

To use this formula, you simply need to add the reciprocals of the individual resistances together. For example, if you have a circuit with three resistors of 10 ohms, 20 ohms, and 30 ohms, the total resistance would be: ``` Rt = 1 / (1 / 10 + 1 / 20 + 1 / 30) = 6.67 ohms ```

Parallel circuits are often used to increase the current flow in a circuit. This is because the total resistance of a parallel circuit is always less than the resistance of any of the individual components. For example, in the circuit above, the total resistance is 6.67 ohms, which is less than any of the individual resistances of 10 ohms, 20 ohms, or 30 ohms. This means that more current will flow through the circuit than if it were connected in series.

Parallel circuits are also used to divide the voltage across a circuit. This is because the voltage across each component in a parallel circuit is the same. For example, in the circuit above, the voltage across each resistor is 12 volts, even though the total resistance of the circuit is only 6.67 ohms.

Parallel circuits can be used in a variety of applications, such as in electrical power distribution systems, lighting circuits, and electronic circuits. They are a versatile and efficient way to connect components in a circuit.

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