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How To Calculate And Understand Resistor Values

Resistor Bands

Resistors

A resistor is a device that opposes the flow of electrical current. The bigger the value of a resistor the more it opposes the current flow. The value of a resistor is given in ohms and is often referred to as its ‘resistance’.

Identifying Resistor Values

understanding_component_uses_and_symbols_resistor_values_560

Band Colour 1st Band 2nd Band Multiplier x Tolerance
Silver ÷ 100 10%
Gold ÷ 10 5%
Black 0 0 1
Brown 1 1 10 1%
Red 2 2 100 2%
Orange 3 3 1000
Yellow 4 4 10,000
Green 5 5 100,000
Blue 6 6 1,000,000
Violet 7 7
Grey 8 8
White 9 9

 

Example: Band 1 = Red, Band 2 = Violet, Band 3 = Orange, Band 4 = Gold

The value of this resistor would be:

2 (Red) 7 (Violet) x1,000 (Orange)

= 27 x 1,000

= 27,000 with a 5% tolerance (gold)

= 27k ohms


Too many zeros?

kilo ohms and mega ohms can be used:

1,000 ohms =1k

1,000k = 1M


 

Resistor Identification Task

Calculate the resistor values given by the bands shown below. The tolerance band has been ignored.

1st Band 2nd Band Multiplier x Value
Brown Black Yellow
Green Blue Brown
Brown Grey Yellow
Orange White Black

 

Calculating Resistor Markings

Calculate what the colour bands would be for the following resistor values.

Value 1st Band 2nd Band Multiplier x
180 ohms
3,900 ohms
47,000 ohms (47k)
1,000,000 ohms(1M)

 

What does Tolerance mean?

Resistors always have a tolerance but what does this mean? It refers to the accuracy to which it has been manufactured. For example if you were to measure the resistance of a gold tolerance resistor you can guarantee that the value measured will be within 5% of its stated value. Tolerances are important if the accuracy of a resistors value is critical to a designs performance.

Preferred Values

There are a number of different ranges of values for resistors. Two of the most popular are the E12 and E24. They take into account the manufacturing tolerance and are chosen such that there is a minimum overlap between the upper possible value of the first value in the series and the lowest possible value of the next. Hence there are fewer values in the 10% tolerance range.

E-12 resistance tolerance (± 10%)
10 12 15 18 22 27 33 39 47 56 68 82

 

E-24 resistance tolerance (± 5%)
10 11 12 13 15 16 18 20 22 24 27 30
33 36 39 43 47 51 56 62 68 75 82 91

 


 

Answers

Resistor Identification

1st Band 2nd Band Multiplier x Value
Brown Black Yellow 100,000 ohms
Green Blue Brown 560 ohms
Brown Grey Yellow 180,000 ohms
Orange White Black 39 ohms

 

 Resistor Markings

Value 1st Band 2nd Band Multiplier x
180 ohms Brown Grey Brown
3,900 ohms Orange White Red
47,000 ohms (47k) Yellow Violet Orange
1,000,000 ohms (1M) Brown Black Green

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