dBm to Watts Conversion Calculator – dBm to Watts Converter

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:

1. We subtract 30 from the dBm value to account for the conversion from milliwatts to watts (since 0 dBm = 1 mW = 0.001 W).
2. We divide by 10 because dBm is a logarithmic unit based on powers of 10.
3. 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:

1. Subtract 30 from the dBm value: This step accounts for the conversion from milliwatts to watts.
2. Divide the result by 10: This is necessary because dBm is a logarithmic unit based on powers of 10.
3. 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:

1. 23 – 30 = -7
2. -7 / 10 = -0.7
3. 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