tibbittskrt04 tibbittskrt04
  • 25-03-2020
  • Mathematics
contestada

A transmission line has an input voltage of 0.4 volts and a decibel voltage gain of 18.6 decibels. Find the output voltage.

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sqdancefan
sqdancefan sqdancefan
  • 04-04-2020

Answer:

  3.4 volts

Step-by-step explanation:

For voltage gain, the number of decibels is 20 times the base-10 logarithm of the actual gain. Then the ratio of output to input is ...

  20·log(Vout/Vin) = 18.6

  Vout/Vin = 10^(18.6/20) ≈ 8.5114

So, the output voltage is ...

  Vout = 8.5114·Vin = 8.5114·0.4 volts ≈ 3.4046 volts

The output voltage is about 3.4 volts.

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