OHM`s Law Help Sheet

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OHM’s Law Help Sheet

Definition

A potential difference of 1 Volt will force a current of 1 Ampere through a resistance of 1 Ohm, or

Voltage (V—Volts) = Current (I—Amps) x Resistance (R—Ohms) or more simply:

V = I x R

Power (W-Watts) = Voltage (V—Volts) x Current (I—Amps) or more simply:

W = V x I

The diagram below shows the variations on this formulae.

Examples:

A heater in a tool measures 20 Ohms. Assuming a voltage of 240V, what is the expected wattage of the heater?

W = V x V / R = 240 x 240 / 20 = 2880W.

A controller has a fused output of 15A on a voltage of 240V. What would be the expected maximum output wattage of the controller?

W = V x I = 240 x 15 = 3600W.

A 24V tip is rated at 250W. What would the expected current demand be?

W = V x I, or I = W / V = 250 / 24 = 10.42A

If the connecting cable to the 24V tip is rated at 0.1R per meter and is 3m long, how much heat will be dissipated by the cable?

Total R of cable = 3 x 0.1R = 0.3R. W = I 2 x R = 10.42 x 10.42 x 0.3 = 32.57W per cable.

If the system is changed to a 240V tip, all other parameters remaining the same, what will be the current demand be and how much heat will be dissipated by the cable?

I = W / V = 250 / 240 = 1.042A

Total R of cable = 3 x 0.1R = 0.3R. W = I 2 x R = 1.042 x 1.042 x 0.3 = 0.323W per cable.

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Resistor Networks

OHM’s Law Help Sheet

Resistor Colour Code

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Resistance / Wattage / Amperage Chart

For any given resistance measurement, the table below shows the expected wattage and current load based on a 240V ac system. Please note that this table is provided as a ‘rule of thumb’ and the values shown are rounded for simplicity. It will also be necessary to take into consideration the resistance of the cables when measuring loads with a high wattage.

150

160

170

180

110

120

130

140

190

200

38

39

40

34

35

36

37

31

32

33

Ohms

1

2

3

4

5

8

9

6

7

10

1.6

1.5

1.4

1.3

2.2

2.0

1.8

1.7

1.3

1.2

6.3

6.1

6.0

7.0

6.9

6.7

6.5

7.7

7.5

7.3

Amps Ohms

240 11

120 12

80 13

60 14

48 15

40 16

34 17

30 18

27 19

24 20

300

320

340

360

220

240

260

280

380

400

48

49

50

44

45

46

47

41

42

43

384

360

339

320

524

480

443

411

303

288

1,858

1,800

1,745

1,694

1,646

1,600

1,557

1,516

1,477

1,440

Watts

57,600

28,800

19,200

14,400

11,520

9,600

8,230

7,200

6,400

5,760

192

180

169

160

262

240

221

206

152

144

1,405

1,371

1,340

1,309

1,280

1,252

1,225

1,200

1,175

1,152

Watts

5,236

4,800

4,430

4,114

3,840

3,600

3,388

3,200

3,030

2,880

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0.8

0.75

0.7

0.67

1.1

1.0

0.9

0.85

0.63

0.6

5.00

4.90

4.80

5.45

5.33

5.22

5.11

5.85

5.71

5.58

Amps

22

20

19

17

16

15

14

13.3

12.6

12

38

29

23

19

231

144

115

58

14

11.5

90

95

100

70

75

80

85

55

60

65

Ohms

21

22

23

24

25

26

27

28

29

30

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250

400

500

1000

1500

2000

2500

3000

4000

5000

1,047

960

886

640

606

576

823

768

720

678

Watts

2,743

2,618

2,504

2,400

2,303

2,215

2,133

2,057

1,986

1,920

6.25

8.33

10.4

12.5

1.04

1.67

2.08

4.17

16.7

20.8

2.7

2.5

2.4

3.4

3.2

3.0

2.8

4.4

4.0

3.7

Amps

11.4

10.9

10.4

10.0

9.6

9.2

8.9

8.6

8.3

8.0

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