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URLhttps://kitronik.co.uk/blogs/resources/how-to-calculate-resistors-in-series-and-parallel
Last Crawled2026-04-15 10:01:44 (6 days ago)
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Meta TitleHow to Calculate Resistors in Series and Parallel – Kitronik
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When resistors are connected one after each other this is called connecting in series. This is shown below. To calculate the total overall resistance of a number of resistors connected in this way you add up the individual resistances. This is done using the following formula: Rtotal = R1 + R2 +R3 and so on. Example: To calculate the total resistance for these three resistors in series. *Rtotal = R1 + R2 + R3* *= 100 + 82 + 1 Ohms* *= 183 Ohms * Task 1: Calculate the total resistance of the following resistor in series. Rtotal  = _______________  = _______________ Rtotal  = _______________  = _______________ Rtotal  = _______________  = _______________ Resistors in Parallel When resistors are connected across each other (side by side) this is called connecting in parallel. This is shown below. Two Resistors in Parallel To calculate the total overall resistance of a of two resistors connected in this way you can use the following formula: Example: To calculate the total resistance for these two resistors in parallel. Task 2: Calculate the total resistance of the following resistor in parallel. Three or more resistors in parallel To calculate the total overall resistance of a number of three or more resistors connected in this way you can use the following formula: Example: To calculate the total resistance for these three resistors in parallel Task 3: Calculate the total resistance of the following resistor in parallel. Answers Task 1 1 = 1492 Ohms 2 = 2242 Ohms 3 = 4847 Ohms Task 2 1 = 5 Ohms 2 = 9.57 Ohms 3 = 248.12 Ohms Task 3 1 = 5.95 Ohms 2 = 23.76 Ohms   Download a pdf version of this page here Learn more about the author
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This is shown below. [![resistors\_in\_series\_1](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_1.png)](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_1.png) To calculate the total overall resistance of a number of resistors connected in this way you add up the individual resistances. This is done using the following formula: *Rtotal = R1 + R2 +R3* and so on. Example: To calculate the total resistance for these three resistors in series. | | | |---|---| | ![resistors\_in\_series\_2](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='400'%20height='55'%20viewBox='0%200%20400%2055'%3E%3C/svg%3E) | \*Rtotal = R1 + R2 + R3\* \*= 100 + 82 + 1 Ohms\* \*= 183 Ohms \* | *** ### Task 1: Calculate the total resistance of the following resistor in series. | | | | |---|---|---| | ![resistors\_in\_series\_3](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='400'%20height='55'%20viewBox='0%200%20400%2055'%3E%3C/svg%3E) | Rtotal | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | | | | | | |---|---|---| | ![resistors\_in\_series\_4](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='400'%20height='55'%20viewBox='0%200%20400%2055'%3E%3C/svg%3E) | Rtotal | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | | | | | | |---|---|---| | ![resistors\_in\_series\_5](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='400'%20height='55'%20viewBox='0%200%20400%2055'%3E%3C/svg%3E) | Rtotal | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | | ### ### Resistors in Parallel When resistors are connected across each other (side by side) this is called connecting in parallel. This is shown below. ![resistors\_in\_series\_6](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='400'%20height='113'%20viewBox='0%200%20400%20113'%3E%3C/svg%3E) ### ### Two Resistors in Parallel | | | |---|---| | To calculate the total overall resistance of a of two resistors connected in this way you can use the following formula: | ![resistors\_in\_series\_7](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='167'%20height='39'%20viewBox='0%200%20167%2039'%3E%3C/svg%3E) | Example: To calculate the total resistance for these two resistors in parallel. ![resistors\_in\_series\_8](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='600'%20height='89'%20viewBox='0%200%20600%2089'%3E%3C/svg%3E) *** ### Task 2: Calculate the total resistance of the following resistor in parallel. ![resistors\_in\_series\_9](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='600'%20height='304'%20viewBox='0%200%20600%20304'%3E%3C/svg%3E) ### ### Three or more resistors in parallel ![resistors\_in\_series\_10](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='400'%20height='127'%20viewBox='0%200%20400%20127'%3E%3C/svg%3E) To calculate the total overall resistance of a number of three or more resistors connected in this way you can use the following formula: [![resistors\_in\_series\_11](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='262'%20height='65'%20viewBox='0%200%20262%2065'%3E%3C/svg%3E)](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_111.png) Example: To calculate the total resistance for these three resistors in parallel ![resistors\_in\_series\_12](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='587'%20height='143'%20viewBox='0%200%20587%20143'%3E%3C/svg%3E) *** ### Task 3: Calculate the total resistance of the following resistor in parallel. ![resistors\_in\_series\_13](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='600'%20height='278'%20viewBox='0%200%20600%20278'%3E%3C/svg%3E) *** ### Answers ### Task 1 1 = 1492 Ohms 2 = 2242 Ohms 3 = 4847 Ohms ### Task 2 1 = 5 Ohms 2 = 9.57 Ohms 3 = 248.12 Ohms ### Task 3 1 = 5.95 Ohms 2 = 23.76 Ohms Download a pdf version of this page [here](https://resources.kitronik.co.uk/pdf/How_to_calculate_resistors_in_series_and_parallel.pdf "How_to_calculate_resistors_in_series_and_parallel.pdf") ![pdf\_icon.gif](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='25'%20height='24'%20viewBox='0%200%2025%2024'%3E%3C/svg%3E) Learn more about the author [read more »](https://kitronik.co.uk/pages/geoff-hampson) **SHARE:** ## Post navigation [Previous: How To Calculate And Understand Resistor Values](https://kitronik.co.uk/blogs/resources/how-to-calculate-and-understand-resistor-values) [Next: How To Use Capacitors](https://kitronik.co.uk/blogs/resources/how-to-use-capacitors) ### Leave a Reply [Cancel reply](https://kitronik.co.uk/blogs/resources/how-to-calculate-resistors-in-series-and-parallel?srsltid=AfmBOorfYLz5pCsNHtJMyryCQL3RESLm4qXo-SANFUdRHNTFxtqoLtTb#respond) ## Kitronik Newsletter Sign up now to be the first to know about the latest products and resources\! 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When [resistors](https://kitronik.co.uk/collections/resistors-accessories/Resistors) are connected one after each other this is called connecting in series. This is shown below. [![resistors\_in\_series\_1](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_1.png)](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_1.png) To calculate the total overall resistance of a number of resistors connected in this way you add up the individual resistances. This is done using the following formula: *Rtotal = R1 + R2 +R3* and so on. Example: To calculate the total resistance for these three resistors in series. | | | |---|---| | ![resistors\_in\_series\_2](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_2.png) | \*Rtotal = R1 + R2 + R3\* \*= 100 + 82 + 1 Ohms\* \*= 183 Ohms \* | *** ### Task 1: Calculate the total resistance of the following resistor in series. | | | | |---|---|---| | ![resistors\_in\_series\_3](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_3.png) | Rtotal | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | | | | | | |---|---|---| | ![resistors\_in\_series\_4](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_4.png) | Rtotal | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | | | | | | |---|---|---| | ![resistors\_in\_series\_5](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_5.png) | Rtotal | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | \= \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ | | | ### Resistors in Parallel When resistors are connected across each other (side by side) this is called connecting in parallel. This is shown below. ![resistors\_in\_series\_6](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_6.png) ### Two Resistors in Parallel | | | |---|---| | To calculate the total overall resistance of a of two resistors connected in this way you can use the following formula: | ![resistors\_in\_series\_7](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_7.png) | Example: To calculate the total resistance for these two resistors in parallel. ![resistors\_in\_series\_8](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_8.png) *** ### Task 2: Calculate the total resistance of the following resistor in parallel. ![resistors\_in\_series\_9](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_9.png) ### Three or more resistors in parallel ![resistors\_in\_series\_10](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_10.png) To calculate the total overall resistance of a number of three or more resistors connected in this way you can use the following formula: [![resistors\_in\_series\_11](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_111.png)](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_111.png) Example: To calculate the total resistance for these three resistors in parallel ![resistors\_in\_series\_12](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_12.png) *** ### Task 3: Calculate the total resistance of the following resistor in parallel. ![resistors\_in\_series\_13](https://resources.kitronik.co.uk/images/blogs/2014/01/resistors_in_series_13.png) *** ### Answers ### Task 1 1 = 1492 Ohms 2 = 2242 Ohms 3 = 4847 Ohms ### Task 2 1 = 5 Ohms 2 = 9.57 Ohms 3 = 248.12 Ohms ### Task 3 1 = 5.95 Ohms 2 = 23.76 Ohms Download a pdf version of this page [here](https://resources.kitronik.co.uk/pdf/How_to_calculate_resistors_in_series_and_parallel.pdf "How_to_calculate_resistors_in_series_and_parallel.pdf") ![pdf\_icon.gif](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20width='25'%20height='24'%20viewBox='0%200%2025%2024'%3E%3C/svg%3E) Learn more about the author
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