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Gain in decibels is a logarithmic base 2 scale with a multiplier of 3, so 3 db is twice the power, 6 db is four times, etc. Gain of -3.5 db means a power loss of 21.17, or a ratio of about -2.25. Note, however, that this is power, not voltage. Since power is voltage times amperes, and since amperes is voltage divided by resistance, in order to achieve a power loss of 2.25, the voltage must change by the square root of that, so the voltage changed by -1.5.

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Q: The db gain is -3.5 what is the ratio of vout to vin?
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