# What Is The Formula To Find Total Resistance In A Parallel Circuit

In a parallel circuit, the total resistance is less than the resistance of any individual resistor. This is because the current can flow through multiple paths, and each path offers a different amount of resistance. The total resistance of a parallel circuit can be calculated using the following formula:

``` Rtotal = 1 / (1 / R1 + 1 / R2 + ... + 1 / Rn) ```

Where:

* Rtotal is the total resistance of the circuit * R1, R2, ..., Rn are the resistances of the individual resistors

For example, consider a circuit with three resistors connected in parallel. The resistors have resistances of 10 ohms, 20 ohms, and 30 ohms. The total resistance of the circuit can be calculated as follows:

``` Rtotal = 1 / (1 / 10 + 1 / 20 + 1 / 30) ```

``` Rtotal = 1 / (0.1 + 0.05 + 0.0333) ```

``` Rtotal = 5.33 ohms ```

As you can see, the total resistance of the circuit is less than the resistance of any individual resistor. This is because the current can flow through multiple paths, and each path offers a different amount of resistance.

The formula for calculating the total resistance of a parallel circuit can be used to solve a variety of problems. For example, you can use it to determine the resistance of a circuit with a given number of resistors and known resistances. You can also use it to calculate the current in a circuit with a given total resistance and known voltage.

The formula for calculating the total resistance of a parallel circuit is a simple but powerful tool that can be used to analyze and design electrical circuits.

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