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Resistors in parallel

- The values produced by placing resistors in parallel including a reference table

When designing or building an electronic circuit, it may be necessary to use two or more resistors instead of one. Either the correct value of resistor may not be available, or it may be necessary to dissipate a higher power than that which a single resistor can dissipate on its own.

Resistance of resistor combinations
Resistors can be placed in series or parallel. When placed in series the total resistance is equal to the sum of the individual resistors:

Resistors in series

Resistors in series

It is also worth noting that the same current flows through each resistor, but the voltage across each resistor is proportional to the resistance of that particular resistor.

For resistors placed in parallel, the arithmetic is a little more complicated because the reciprocal of the total resistance is equal to the sum of the reciprocals of the constituent resistors:

Resistors in parallel

Resistors in parallel

When there are only two resistors R1 and R2 in parallel this can be simplified to:

Formula for two resistors in parallel

If both these resistors have the same value it can be seen that the overall value of the resistance is half the value for the individual resistor.

When resistors are placed in parallel the voltage across the resistors is the same, but the current through each one is inversely proportional to its resistance.

Parallel resistor value table
While the values for resistors in parallel can be calculated relatively easily in most cases a table giving suitable values that are in the most case preferred is given below. Column A gives the required resistor value, and column B gives the first choice combination for the parallel resistors. A second choice is shown in column C. The values should be a close tolerance as possible, typically 0.5%.

Required resistor value "A"

First selection of resistors "B"

Alternative selection of resistors "C"

10.0

10

 

11

110

11.0

11

 

12 

130

12.0

12

 

13

150

13.0

13

 

15

100

14.0

16

110

15

220

15.0

15

 

16

240

16.0

16

 

27

39

17.0

22

75

18

300

18.0

18

 

20

180

19.0

24

91

20

390

20.0

20

 

22

220

22.0

22

 

24

270

23.0

39

56

24

560

24.0

24

 

27

220

25.0

30

150

27

330

26.0

27

680

30

200

27.0

27

 

30

270

28.0

51

62

30

430

29.0

33

240

30

910

30.0

30

 

33

330

31.0

33

510

39

150

32.0

47

100

33

1100

33.0

33

 

36

390

34.0

68

68

162

75

35.0

36

1200

39

330

36.0

36

 

39

470

37.0

39

750

43

270

38.0

39

1500

43

330

39.0

39

 

68

91

40.0

47

270

43

560

41.0

82

82

43

910

42.0

43

1800

62

130

43.0

43

 

47

510

44.0

47

680

62

150

45.0

82

100

47

1100

46.0

47

2200

51

470

47.0

47

 

82

110

48.0

51

820

56

330

49.0

56

390

51

1300

50.0

75

150

56

470

51.0

51

 

56

560

52.0

68

220

56

750

53.0

68

240

56

1000

54.0

56

1500

62

430

55.0

110

110

56

3000

56.0

56

 

75

220

57.0

75

240

62

680

58.0

91

160

62

910

59.0

62

1200

62

1300

60.0

68

510

75

300

62.0

62

 

75

360

64.0

68

1100

75

430

66.0

91

240

68

2200

68.0

68

 

91

270

70.0

82

470

75

1000

72.0

75

1800

120

180

74.0

75

5600

82

750

76.0

82

1000

91

470

78.0

62

1600

110

270

80.0

120

240

82

3300

82.0

82

 

91

620

84.0

91

1100

110

360

86.0

100

620

91

1500

88.0

120

330

91

2700

90.0

120

360

91

8200

92.0

110

560

120

390

94.0

100

1600

120

430

96.0

100

2400

110

750

98.0

100

5100

110

910

 

 


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