The power gain in decibels can be expressed as:

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  1. \(10 \ln\left(\frac{V_o}{V_i} \right)\)
  2. \(10 \ln\left(\frac{P_o}{P_i} \right)\)
  3. \(20 \ln\left(\frac{P_o}{V_i} \right)\)
  4. \(20 \ln\left(\frac{P_o}{P_i} \right)\)

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Option 2 : \(10 \ln\left(\frac{P_o}{P_i} \right)\)
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Power gain is the ratio of the output power (P0) to the input power (Pin­), i.e.

\({A_p} = \frac{{{P_0}}}{{{P_{in}}}}\)

In terms of dB, the power gain is expressed as:

\(P(dB) = 10\log_{10}{\frac{P_{out}}{P_{in}}}\)

Property: logx x = 1

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