# Two amplifiers are connected one after the other in series (cascaded).

Question:

Two amplifiers are connected one after the other in series (cascaded). The first amplifier has a voltage gain of 10 and the second has a voltage gain of 20. If the input signal is 0.01 volt, calculate the output ac signal.

Solution:

oltage gain of the first amplifier, V1 = 10

Voltage gain of the second amplifier, V2 = 20

Input signal voltage, Vi = 0.01 V

Output AC signal voltage = Vo

The total voltage gain of a two-stage cascaded amplifier is given by the product of voltage gains of both the stages, i.e.,

V = V1 × V2

= 10 × 20 = 200

We have the relation:

$V=\frac{V_{0}}{V_{i}}$

V0 = V × Vi

= 200 × 0.01 = 2 V

Therefore, the output AC signal of the given amplifier is 2 V.