# What Is The Total Resistance In Parallel Circuit

## What is the Total Resistance in a Parallel Circuit?

In a parallel circuit, the current is split between multiple paths, and the total resistance is always less than the resistance of any individual path. This is because the current has more than one path to take, so it does not have to travel through as much resistance to get to its destination. 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 resistors in the circuit For example, if you have a parallel circuit with three resistors of 1 ohm, 2 ohms, and 3 ohms, the total resistance of the circuit would be: ``` Rt = 1 / (1/1 + 1/2 + 1/3) = 1 / (3/6 + 2/6 + 1/6) = 1 / (6/6) = 1 ohm ``` As you can see, the total resistance of the circuit is less than the resistance of any of the individual resistors. This is because the current has more than one path to take, so it does not have to travel through as much resistance to get to its destination. The total resistance of a parallel circuit is always less than the resistance of any individual resistor in the circuit. This is because the current has more than one path to take, so it does not have to travel through as much resistance to get to its destination. ## How to Calculate the Total Resistance of a Parallel Circuit 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 resistors in the circuit For example, if you have a parallel circuit with three resistors of 1 ohm, 2 ohms, and 3 ohms, the total resistance of the circuit would be: ``` Rt = 1 / (1/1 + 1/2 + 1/3) = 1 / (3/6 + 2/6 + 1/6) = 1 / (6/6) = 1 ohm ``` ## Applications of Parallel Circuits Parallel circuits are used in a variety of applications, including: *

### Electrical wiring

. The lights in your home are wired in parallel so that if one light burns out, the others will still work. *

### Speaker systems

. Speakers are often wired in parallel so that they can all play at the same volume. *

### Computers

. The components inside a computer are wired in parallel so that they can all communicate with each other. Parallel circuits are a valuable tool for electrical engineers and other professionals who work with electricity. By understanding how parallel circuits work, you can use them to design and build circuits that meet your specific needs. ## Conclusion In this article, we discussed the total resistance in a parallel circuit. We learned that the total resistance of a parallel circuit is always less than the resistance of any individual resistor in the circuit. We also learned how to calculate the total resistance of a parallel circuit using the following formula: ``` Rt = 1 / (1/R1 + 1/R2 + ... + 1/Rn) ``` Parallel circuits are used in a variety of applications, including electrical wiring, speaker systems, and computers. By understanding how parallel circuits work, you can use them to design and build circuits that meet your specific needs.

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