Math Problem Statement
A 18 km fiber optic system has an input power of 2 mW and attenuation of 0.2 dB/km. The output power of the fiber optic system in dBm is
Solution
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Math Problem Analysis
Mathematical Concepts
Logarithmic Functions
Power Conversion
Attenuation in Fiber Optics
Formulas
P_{in \, (\text{dBm})} = 10 \log_{10}(P_{in})
Total attenuation = \alpha \times \text{length}
P_{out \, (\text{dBm})} = P_{in \, (\text{dBm})} - \text{Total attenuation}
Theorems
Logarithmic Power Scaling
Suitable Grade Level
Grades 10-12
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