How to Calculate Resistors in Series and Parallel

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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.

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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.

resistors_in_series_3Rtotal = _______________
 = _______________
resistors_in_series_4Rtotal = _______________
 = _______________
resistors_in_series_5Rtotal = _______________
 = _______________

Resistors in Parallel

When resistors are connected across each other (side by side) this is called connecting in parallel. This is shown below.

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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

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To calculate the total overall resistance of a number of three or more resistors connected in this way you can use the following formula:

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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

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