How To Calculate Resistors In Series And Parallel - Kitronik

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Resistors in Series

When resistors are connected one after each other this is called connecting in series. This is shown below. resistors_in_series_1 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 *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 Rtotal  = _______________
 = _______________

 

resistors_in_series_4 Rtotal  = _______________
 = _______________

 

resistors_in_series_5 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

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

Example: To calculate the total resistance for these two resistors in parallel.

resistors_in_series_8

 

Task 2:

Calculate the total resistance of the following resistor in parallel. resistors_in_series_9

Three or more resistors in parallel

resistors_in_series_10 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 Example: To calculate the total resistance for these three resistors in parallel resistors_in_series_12

 

Task 3:

Calculate the total resistance of the following resistor in parallel. resistors_in_series_13

 

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 pdf_icon.gif Learn more about the author read more »

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