Question

a signal goes through two amplification stages. the first stage has a gain of a1=39 v/v, and the second has a gain of a2=19 v/ the total gain and express it in db.

Answer 1

To find the total gain when a signal goes through two amplification stages, multiply the gains of each stage, then convert to decibels using 20 times the logarithm base 10 of the total gain.

Step-by-step explanation:

The subject of this question involves calculating the total gain of an electronic signal as it goes through two amplification stages, and then expressing that gain in decibels (dB), which is frequently done in the field of electronics and sound engineering. To find the total gain, you multiply the gain of the first stage by that of the second stage. In this case, the total gain (AT) would be:

AT = A1 × A2 = 39 v/v × 19 v/v = 741 v/v

To calculate the gain in decibels (dB), you use the formula:

Gain(dB) = 20 × log10(AT)

Plugging in the values:

Gain(dB) = 20 × log10(741)

Once you calculate this on a calculator, you get the total gain in dB.