Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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**Understanding Decibel Calculations** **Formulas:** - \( \text{dB} = 10 \log_{10} \left( \frac{P_{\text{final}}}{P_{\text{ref}}} \right) \) - \( \text{dB} = 20 \log_{10} \left( \frac{V_{\text{final}}}{V_{\text{ref}}} \right) \) **Problems:** 1. **Power Loss in a Fiber Link:** - The source power of the original laser (\(P_{\text{ref}}\)) is seven microwatts (\(1 \times 10^{-6}\) Watts). The total loss of the fiber link is 13 dB. - **Question:** How much power is delivered? 2. **Power Delivery with Significant Loss:** - The total loss of a fiber link is 84 dB. The source power of the original laser (\(P_{\text{ref}}\)) is 1 milliwatt. - **Question:** How much power is delivered? 3. **Voltage Gain or Loss:** - Measured voltage at the end of a cable is 2 microvolts, or \(2 \times 10^{-6}\) volts. The source voltage was 1 volt. - **Question:** What is the gain or loss in decibels? Is this value positive or negative? Does the value represent a gain or a loss in voltage?
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Transcribed Image Text:**Understanding Decibel Calculations** **Formulas:** - \( \text{dB} = 10 \log_{10} \left( \frac{P_{\text{final}}}{P_{\text{ref}}} \right) \) - \( \text{dB} = 20 \log_{10} \left( \frac{V_{\text{final}}}{V_{\text{ref}}} \right) \) **Problems:** 1. **Power Loss in a Fiber Link:** - The source power of the original laser (\(P_{\text{ref}}\)) is seven microwatts (\(1 \times 10^{-6}\) Watts). The total loss of the fiber link is 13 dB. - **Question:** How much power is delivered? 2. **Power Delivery with Significant Loss:** - The total loss of a fiber link is 84 dB. The source power of the original laser (\(P_{\text{ref}}\)) is 1 milliwatt. - **Question:** How much power is delivered? 3. **Voltage Gain or Loss:** - Measured voltage at the end of a cable is 2 microvolts, or \(2 \times 10^{-6}\) volts. The source voltage was 1 volt. - **Question:** What is the gain or loss in decibels? Is this value positive or negative? Does the value represent a gain or a loss in voltage?
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