# Resistance Formula For Parallel Circuit

The resistance formula for a parallel circuit is: ``` 1/Rt = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn ``` where: *

### Rt

is the total resistance of the parallel circuit *

,

,

, ...,

### Rn

are the resistances of the individual resistors in the parallel circuit To find the total resistance of a parallel circuit, you can add the reciprocals of the individual resistances and then take the reciprocal of the sum. For example, if you have a parallel circuit with three resistors with resistances of 10 ohms, 20 ohms, and 30 ohms, the total resistance of the circuit would be: ``` 1/Rt = 1/10 + 1/20 + 1/30 = 6/60 = 1/10 ``` So, the total resistance of the circuit would be 10 ohms.

The resistance formula for a parallel circuit can be used to calculate the total resistance of any number of resistors connected in parallel. It can also be used to find the equivalent resistance of a complex circuit that contains both series and parallel resistors.

The resistance formula for a parallel circuit is a powerful tool that can be used to analyze and design electrical circuits. It is important to understand how to use this formula in order to be able to effectively troubleshoot and repair electrical problems.

Here are some additional resources that you may find helpful: * [The Resistance Formula for Parallel Circuits](https://www.khanacademy.org/science/electrical-engineering/circuits-and-circuit-analysis/resistors-and-resistivity/a/resistance-formula-for-parallel-circuits) * [Parallel Circuits](https://www.electronics-tutorials.ws/resistors/parallel-resistors.html) * [Thevenin's Theorem](https://www.electronics-tutorials.ws/circuits/thevenins-theorem.html)

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