# Determine Total Resistance Parallel Circuit

## Determine Total Resistance Parallel Circuit

In a parallel circuit, the current is split between multiple paths, and the total resistance is less than the resistance of any individual path. This is because the voltage across each path is the same, but the current is divided according to the resistance of each path. The total resistance of a parallel circuit can be calculated using the following formula: ``` Rt = 1 / (1 / R1 + 1 / R2 + ... + 1 / Rn) ``` where: *

### Rt

is the total resistance of the circuit *

,

, ...,

### Rn

are the resistances of the individual paths For example, consider a circuit with three resistors connected in parallel, with resistances of 10 ohms, 20 ohms, and 30 ohms. The total resistance of this circuit would be: ``` Rt = 1 / (1 / 10 + 1 / 20 + 1 / 30) = 5 ohms ``` As you can see, the total resistance of the circuit is less than the resistance of any individual path. This is because the current is divided between the three paths, which reduces the overall resistance. ## Calculating Total Resistance with a Parallel Circuit Calculator If you are not comfortable with the math involved in calculating total resistance, you can use a parallel circuit calculator to help you. A parallel circuit calculator will ask you to enter the resistances of the individual paths, and it will then calculate the total resistance of the circuit for you. There are many different parallel circuit calculators available online. You can find a list of parallel circuit calculators by doing a search for "parallel circuit calculator". ## Parallel Circuit Applications Parallel circuits are used in a variety of applications, including: * Electrical wiring in homes and businesses * Power distribution systems * Audio amplifiers * Electronic circuits In each of these applications, the use of parallel circuits allows for a reduction in the overall resistance of the circuit, which can improve efficiency or performance. ## Conclusion Parallel circuits are an important part of electrical engineering. By understanding how to calculate total resistance in a parallel circuit, you can design circuits that meet your specific needs.

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