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1. If-47 dBm is measured at the input of an amplifier and -24 dBm at the output, what would the gain be in dB? (Ctrl)

1. If-47 dBm is measured at the input of an amplifier and -24 dBm at the output, what would the gain be in dB? (Ctrl)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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### Amplifier Gain Calculation **Problem Statement:** If -47 dBm is measured at the input of an amplifier and -24 dBm at the output, what would the gain be in dB? **Solution:** To find the gain in dB, use the formula for calculating gain: \[ \text{Gain (dB)} = \text{Output Level (dBm)} - \text{Input Level (dBm)} \] Substitute the given values: \[ \text{Gain (dB)} = -24 \, \text{dBm} - (-47 \, \text{dBm}) \] \[ \text{Gain (dB)} = -24 \, \text{dBm} + 47 \, \text{dBm} \] \[ \text{Gain (dB)} = 23 \, \text{dB} \] So, the gain of the amplifier is 23 dB.
Transcribed Image Text:### Amplifier Gain Calculation **Problem Statement:** If -47 dBm is measured at the input of an amplifier and -24 dBm at the output, what would the gain be in dB? **Solution:** To find the gain in dB, use the formula for calculating gain: \[ \text{Gain (dB)} = \text{Output Level (dBm)} - \text{Input Level (dBm)} \] Substitute the given values: \[ \text{Gain (dB)} = -24 \, \text{dBm} - (-47 \, \text{dBm}) \] \[ \text{Gain (dB)} = -24 \, \text{dBm} + 47 \, \text{dBm} \] \[ \text{Gain (dB)} = 23 \, \text{dB} \] So, the gain of the amplifier is 23 dB.
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