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A decibel (dB) has meaning only when compared a quantity (P1, V1, or I1) with a reference (P0, V0, or I0). Since it is a ratio of two like quantities, it is dimensionless.

For a power ratio, power gain = 10 * log10(P1/Po) in [dB].

For a voltage ratio, voltage gain = 20 * log10(V1/Vo) in [dB].

For example, when P1 = 100 * P0, the power gain = 10 * log10(100) [dB] = 20 dB.

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