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 If Av, Ai and Ap represents the voltage gain, current gain and power gain ratio of an amplifier which of the below is not the correct expression for the corresponding values in decibel?
  • a)
    Current gain: 20 log Ai db
  • b)
    Voltage gain: 20 log Av db
  • c)
    Power gain: 20 log Ap db
  • d)
     Power gain: 10 log Ap
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If Av, Aiand Aprepresents the voltage gain, current gain and power gai...
Explanation:

The correct expressions for the corresponding values in decibel are:

a) Current gain: 20 log Ai
b) Voltage gain: 20 log Av
c) Power gain: 10 log Ap
d) Power gain: 10 log Ap

The reason why option C is not correct is that it uses 20 log instead of 10 log. The power gain ratio is defined as the ratio of output power to input power, which is given by:

Ap = Pout / Pin

Taking the logarithm of both sides, we get:

log Ap = log (Pout / Pin)

Using the logarithmic identity log (a / b) = log a - log b, we can rewrite the above expression as:

log Ap = log Pout - log Pin

Multiplying both sides by 10, we get:

10 log Ap = 10 log Pout - 10 log Pin

Therefore, the correct expression for power gain in decibel is 10 log Ap.
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Community Answer
If Av, Aiand Aprepresents the voltage gain, current gain and power gai...
Power gain is given by 10 log Ap db.
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