If a Signal with a power level of 40 mW is inserted onto a transmission line and the measured power some distance away is 10 mW, calculate the loss of signal strength is decibels.
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To calculate the loss of signal strength in decibels (dB), you can use the following formula:
Loss (dB) = 10 * log10(P1/P2)
Where:
P1 is the initial power level of the signal (40 mW)
P2 is the measured power level of the signal (10 mW)
Let's plug in the values and calculate the loss in dB.
Loss (dB) = 10 * log10(40 mW / 10 mW)
First, divide the initial power (P1) by the measured power (P2):
Loss (dB) = 10 * log10(4)
Then, calculate the logarithm base 10 of the result:
Loss (dB) = 10 * 0.602
Finally, multiply the logarithmic result by 10:
Loss (dB) = 6.02 dB
Therefore, the loss of signal strength is approximately 6.02 dB.