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Chapter 10: Problem 11

Whet are the \(\mathrm{dBm}\) values correxpoxding to the following power valics? (A) \(2 \mathrm{~mW}\) (b) \(1 \mathrm{~mW}\) (c) \(4 \mathrm{~mW}\) (d) \(0.25 \mathrm{~mW}\)

Short Answer

Expert verified
Question: Find the dBm values corresponding to the following power values in milliwatts: (a) 2 mW (b) 1 mW (c) 4 mW (d) 0.25 mW Answer: (a) 3.01 dBm (b) 0 dBm (c) 6.02 dBm (d) -6.02 dBm

Step by step solution

01

Find the dBm value for 2 mW

Using the dBm formula, we can find the corresponding dBm value for 2 mW: $$dBm = 10 * log_{10}(2)$$ $$dBm = 10 * log_{10}(2) 鈮� 10 * 0.301 = 3.01$$
02

Find the dBm value for 1 mW

Using the dBm formula, we can find the corresponding dBm value for 1 mW: $$dBm = 10 * log_{10}(1)$$ $$dBm = 10 * log_{10}(1) = 0$$
03

Find the dBm value for 4 mW

Using the dBm formula, we can find the corresponding dBm value for 4 mW: $$dBm = 10 * log_{10}(4)$$ $$dBm = 10 * log_{10}(4) 鈮� 10 * 0.602 = 6.02$$
04

Find the dBm value for 0.25 mW

Using the dBm formula, we can find the corresponding dBm value for 0.25 mW: $$dBm = 10 * log_{10}(0.25)$$ $$dBm = 10 * log_{10}(0.25) 鈮� 10 * (-0.602) = -6.02$$ Therefore, the dBm values corresponding to the power values given in the exercise are as follows: (a) 2 mW 鈫� 3.01 dBm (b) 1 mW 鈫� 0 dBm (c) 4 mW 鈫� 6.02 dBm (d) 0.25 mW 鈫� -6.02 dBm

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