Calculate Resistance Parallel Circuit Example

Calculate Resistance Parallel Circuit Example

In this article, we will learn how to calculate the resistance of a parallel circuit. We will also look at an example of a parallel circuit and how to calculate the total resistance. ### Resistance in a Parallel Circuit In a parallel circuit, the current is divided equally between the branches. This means that the total current flowing through the circuit is the sum of the currents flowing through each branch. The resistance of a parallel circuit is calculated using the following formula: ``` 1 / Rt = 1 / R1 + 1 / R2 + ... + 1 / Rn ``` where: * Rt is the total resistance of the circuit * R1, R2, ..., Rn are the resistances of the individual branches For example, if we have a parallel circuit with three branches, each with a resistance of 10 ohms, the total resistance of the circuit would be: ``` 1 / Rt = 1 / 10 + 1 / 10 + 1 / 10 ``` ``` Rt = 10 / 3 = 3.33 ohms ``` ### Example of a Parallel Circuit The following diagram shows an example of a parallel circuit. The circuit consists of three resistors, each with a resistance of 10 ohms. The total resistance of the circuit is 3.33 ohms.

220px Parallel circuit.svg

### Calculating the Total Resistance To calculate the total resistance of the circuit, we can use the following formula: ``` 1 / Rt = 1 / R1 + 1 / R2 + ... + 1 / Rn ``` In this case, we have three resistors, each with a resistance of 10 ohms. So, the total resistance of the circuit is: ``` 1 / Rt = 1 / 10 + 1 / 10 + 1 / 10 ``` ``` Rt = 10 / 3 = 3.33 ohms ``` ### Conclusion In this article, we learned how to calculate the resistance of a parallel circuit. We also looked at an example of a parallel circuit and how to calculate the total resistance.


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