Each time the voltage gain decreases by a factor of 2,the decibel voltage gain
A) increases by 6 dB.
B) decreases by 6 dB.
C) increases by 10 dB.
D) decreases by 10 dB.

Question

Quizplus · Accepted Answer

The decibel voltage gain is given by 20log(Vout/Vin). If the voltage gain decreases by a factor of 2, then Vout/Vin also decreases by a factor of 2. Therefore, substituting Vout/Vin = (1/2) in the equation for decibel voltage gain, we get
20log((1/2)) = -20log(2) = -6.02 dB (approximately)
This means that the decibel voltage gain decreases by 6 dB each time the voltage gain decreases by a factor of 2.

Each Time the Voltage Gain Decreases by a Factor of 2,the