We created **dBm to watts conversion calculator** with conversion formula used is: **P(W) = 1 times 10 raised to the power of (P(dBm)/10)** to to **convert dBm to watts**.

**dBm** is a **logarithmic unit** that expresses power in **decibels (dB)** relative to one **milliwatt (mW)**. It’s widely used in **radio**, **microwave**, and **fiber-optic communication** to express transmitter power output, **signal strength**, or received power. On the other hand, **watts** is the standard unit of power in the **International System of Units (SI)**.

**Sample conversions using a dBm to Watts Calculator:**

- 0 dBm = 1 mW = 0.001 W
- 30 dBm = 1 W
- -10 dBm ≈ 0.0001 W
- 50 dBm = 100 W

## dBm to Watts Calculator

Power (dBm) | Power (W) | Conversion Formula |
---|---|---|

0 | 0.001 W | P(W) = 1 times 10 raised to the power of (0/10) |

1 | 0.0012589 W | P(W) = 1 times 10 raised to the power of (1/10) |

10 | 0.01 W | P(W) = 1 times 10 raised to the power of (10/10) |

15 | 0.0316228 W | P(W) = 1 times 10 raised to the power of (15/10) |

20 | 0.1 W | P(W) = 1 times 10 raised to the power of (20/10) |

24 | 0.251189 W | P(W) = 1 times 10 raised to the power of (24/10) |

30 | 1 W | P(W) = 1 times 10 raised to the power of (30/10) |

33 | 2 W | P(W) = 1 times 10 raised to the power of (33/10) |

40 | 10 W | P(W) = 1 times 10 raised to the power of (40/10) |

43 | 19.95 W | P(W) = 1 times 10 raised to the power of (43/10) |

50 | 100 W | P(W) = 1 times 10 raised to the power of (50/10) |

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## dBm to Watts Conversion Formula

The formula to **convert dBm to watts** is:

**P(W) = 10^((dBm – 30) / 10)**

Where:

- P(W) is the power in watts
- dBm is the power in
**decibel-milliwatts**

To understand this formula, let’s break it down:

- We subtract 30 from the dBm value to account for the conversion from milliwatts to watts (since 0 dBm = 1 mW = 0.001 W).
- We divide by 10 because dBm is a
**logarithmic unit**based on powers of 10. - We use 10 raised to the power of the result because dBm is a
**logarithmic scale**.

**Examples:**

- Convert 20 dBm to watts: P(W) = 10^((20 – 30) / 10) = 10^(-1) = 0.1 W
- Convert 40 dBm to watts: P(W) = 10^((40 – 30) / 10) = 10^1 = 10 W
- Convert -10 dBm to watts: P(W) = 10^((-10 – 30) / 10) = 10^(-4) = 0.0001 W

## How do you convert dBm to watts?

To convert dBm to watts, follow these steps:

**Subtract 30 from the dBm value**: This step accounts for the conversion from milliwatts to watts.**Divide the result by 10**: This is necessary because dBm is a**logarithmic unit**based on powers of 10.**Calculate 10 raised to the power of the result from step 2**: This final step gives you the power in watts.

Let’s walk through an example:

Convert 23 dBm to watts:

- 23 – 30 = -7
- -7 / 10 = -0.7
- 10^(-0.7) ≈ 0.1995 W

**Therefore, 23 dBm is approximately equal to 0.1995 watts or about 200 mW.**

## What is a dBm equal to?

**dBm** is equal to the power ratio in **decibels (dB)** of the measured power referenced to one **milliwatt (mW)**. In other words, 0 dBm is defined as 1 mW. This means that:

- 0 dBm = 1 mW = 0.001 W
- 1 dBm ≈ 1.259 mW
- -1 dBm ≈ 0.794 mW

The dBm scale is **logarithmic**, which means that for every 10 dBm increase, the power in milliwatts increases by a factor of 10. For example:

- 10 dBm = 10 mW
- 20 dBm = 100 mW
- 30 dBm = 1000 mW = 1 W

This **logarithmic nature** makes dBm particularly useful in fields like telecommunications and **RF engineering**, where power levels can vary greatly. It allows for easy expression of both very small and very large power values using a single, consistent scale.

## How many dBm is 10 watts?

To find out how many dBm is equivalent to 10 watts, use the formula for **converting watts to dBm**:

**dBm = 10 log10(P(W) 1000)**

Where P(W) is the power in watts.

Let’s calculate:

dBm = 10 *log10(10* 1000) = 10 *log10(10000) = 10* 4 = 40 dBm

Therefore, **10 watts is equal to 40 dBm**.

This conversion demonstrates an important relationship: for every 10 dB increase in the dBm value, the power in watts increases by a factor of 10. We can see this pattern:

- 30 dBm = 1 W
- 40 dBm = 10 W
- 50 dBm = 100 W

## How much power is 1 dBm?

To find the power in watts equivalent to 1 dBm, we use the dBm to watts conversion formula:

P(W) = 10^((dBm – 30) / 10)

Plugging in 1 dBm:

P(W) = 10^((1 – 30) / 10) = 10^(-2.9) ≈ 0.001259 W

**1 dBm is approximately equal to 0.001259 watts**, or about 1.259 milliwatts (mW).

This value is important to remember as it’s slightly higher than **1 mW** (**which is 0 dBm**). The small increase from **0 dBm to 1 dBm **represents about a **25.9%** increase in power, which can be significant in sensitive **RF applications** or when working with low-power devices.

## What is 47 dBm in watts?

To convert 47 dBm to watts, we’ll use the dBm to watts conversion formula:

P(W) = 10^((dBm – 30) / 10)

Plugging in 47 dBm:

P(W) = 10^((47 – 30) / 10) = 10^(17/10) = 10^1.7 ≈ 50.12 W

Therefore, **47 dBm is approximately equal to 50.12 watts**.

This example demonstrates the significant power levels that can be represented by dBm values in the 40s and above.

A power level of 50 watts is considerable in many **RF and telecommunications applications**, often associated with more powerful transmitters or amplifiers.

## dBm to Watts Conversion Table Chart

Power (dBm) | Power (W) |
---|---|

1 | 0.0012589 W |

2 | 0.0015849 W |

3 | 0.0019953 W |

4 | 0.0025119 W |

5 | 0.0031623 W |

6 | 0.0039811 W |

7 | 0.0050119 W |

8 | 0.0063096 W |

9 | 0.0079433 W |

10 | 0.01 W |

11 | 0.0125893 W |

12 | 0.0158489 W |

13 | 0.0199526 W |

14 | 0.0251189 W |

15 | 0.0316228 W |

16 | 0.0398107 W |

17 | 0.0501187 W |

18 | 0.0630958 W |

19 | 0.0794328 W |

20 | 0.1 W |

21 | 0.1258925 W |

22 | 0.1584893 W |

23 | 0.1995262 W |

24 | 0.2511886 W |

25 | 0.3162278 W |

26 | 0.3981072 W |

27 | 0.5011872 W |

28 | 0.6309573 W |

29 | 0.7943282 W |

30 | 1 W |

31 | 1.2589254 W |

32 | 1.5848932 W |

33 | 1.9952623 W |

34 | 2.5118864 W |

35 | 3.1622777 W |

36 | 3.9810717 W |

37 | 5.0118723 W |

38 | 6.3095734 W |

39 | 7.9432823 W |

40 | 10 W |

41 | 12.589254 W |

42 | 15.848932 W |

43 | 19.952623 W |

44 | 25.118864 W |

45 | 31.622777 W |

46 | 39.810717 W |

47 | 50.118723 W |

48 | 63.095734 W |

49 | 79.432823 W |

50 | 100 W |

51 | 125.89254 W |

52 | 158.48932 W |

53 | 199.52623 W |

54 | 251.18864 W |

55 | 316.22777 W |

56 | 398.10717 W |

57 | 501.18723 W |

58 | 630.95734 W |

59 | 794.32823 W |

60 | 1000 W |

61 | 1258.9254 W |

62 | 1584.8932 W |

63 | 1995.2623 W |

64 | 2511.8864 W |

65 | 3162.2777 W |

66 | 3981.0717 W |

67 | 5011.8723 W |

68 | 6309.5734 W |

69 | 7943.2823 W |

70 | 10000 W |

71 | 12589.254 W |

72 | 15848.932 W |

73 | 19952.623 W |

74 | 25118.864 W |

75 | 31622.777 W |

76 | 39810.717 W |

77 | 50118.723 W |

78 | 63095.734 W |

79 | 79432.823 W |

80 | 100000 W |

81 | 125892.54 W |

82 | 158489.32 W |

83 | 199526.23 W |

84 | 251188.64 W |

85 | 316227.77 W |

86 | 398107.17 W |

87 | 501187.23 W |

88 | 630957.34 W |

89 | 794328.23 W |

90 | 1000000 W |

91 | 1258925.4 W |

92 | 1584893.2 W |

93 | 1995262.3 W |

94 | 2511886.4 W |

95 | 3162277.7 W |

96 | 3981071.7 W |

97 | 5011872.3 W |

98 | 6309573.4 W |

99 | 7943282.3 W |

100 | 10000000 W |