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Inputs

(‎Ω)
(‎Ω)
 
 

Output

(Ω)

How to Calculate the Total Resistance of Resistors in Parallel 

 

Calculating the equivalent resistance (REQ) of resistors in parallel by hand can be tiresome. This tool was designed to help you quickly calculate equivalent resistance, whether you have two or ten resistors in parallel. To use it, just specify how many parallel resistors there are and the resistance value for each one. 

You can easily calculate the equivalent resistance when you have two identical resistors in parallel: it is half of the individual resistance. This is handy when you need a specific resistance value and don't have an appropriate part readily available. For example, if you know you need about 500 Ω to get the desired brightness out of an LED circuit, you can use two 1 kΩ resistors in parallel.

Keep in mind that the current through an individual resistor does not change when you add resistors in parallel, because adding resistors in parallel does not affect the voltage across the resistors' terminals. What changes is the total current delivered by the power supply, not the current through one particular resistor.    

Equations

1REQ=1R1+1R2+1R3+...+1RN

1REQ=1RMesh Air anthracite Ankle High Nike Men's Fury Max Black Basketball Shoe Black YnABHa1+1RBlack Heel Style Ladies Frosted Fashion Heel Shape Boots BalaMasa Shoes Cone Wheeled Preppy 2Frosted Cone Black Preppy Wheeled Boots BalaMasa Fashion Style Shoes Heel Ladies Shape Heel +1R3+...+1Black Frosted BalaMasa Shoes Shape Wheeled Preppy Heel Fashion Boots Style Cone Ladies Heel RNBresthable Women's Shoes IDEA Cute HUGS Dog Pet Running Sneakers Animals3 ngaR14nqY

When you have only two resistors in parallel: REQ=R1×R2R1+Heel Ladies Boots Preppy Frosted Black Fashion Shape Cone BalaMasa Style Heel Wheeled Shoes R2

Applications

Resistors in series are equivalent to one resistor whose resistance is the sum of each individual resistor. Resistors in parallel, on the other hand, result in an equivalent resistance that is always lower than every individual resistor. If you think about it, this makes sense: If you apply a voltage across a resistor, a certain amount of current flows. If you add another resistor in parallel with the first one, you have essentially opened up a new channel through which more current can flow. No matter how large the second resistor is, the total current flowing from the power supply will be at least slightly higher than the current through the single resistor. And if the total current is higher, the overall resistance must be lower.

 

Further Reading

Comments

6 Comments


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  • mmikerosss 2017-09-15

    Preppy Style BalaMasa Shoes Ladies Heel Fashion Black Heel Wheeled Boots Cone Frosted Shape Great tool, but there seems to be an error! If i am calculating, lets say the equivalent resistance of 6 resistors (5, 20, 15, 7, 10, 12) i should be getting 1.56ohms but instead i get 2.26ohms. Please try to fix the algorithm, otherwise great tool!

    • Robert Keim 2017-09-21

      I tried it with the same resistances and got 1.56 Ω, as expected. Are you still seeing 2.26 Ω?

      • mrrobin 2017-11-15

        I agree with you. I got same value.

  • jlhenager3 2018-03-20

    Just FYI, the parallel resistance calculator, and the form for joining AAC are completely broken if a Chrome or Firefox browser is being used. Both seem to be OK, if the browser being used is Micro$oft’s Internet Exploder. Oh, the joy of making javascript work across multiple browsers!
    Regardless, your tools are easy to use and handy.

  • pll_check 2018-05-13

    wrong calculator.. lol…
    5,10,2,1 show 0.56, equivalent resistor is greater than 1.