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22 December, 10:35

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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  1. 22 December, 11:01
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    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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