Three amplifiers with voltage gains 10 ,20 and 30 are connected in series . If the input signal has a peak value of 1 mV then the peak value of the ouptut voltage is

Options

A. 6V
B. 60 V
C. 0.6 V
D. 0.06 V

Answer

A

Explanation

Given voltage gains of three amplifiers
`A_(1) = 10 ,A_(2) = 20 ` and `A_(3) = 30`
peak value of input signal
`v_(I )=1 mV =10^(-3)V`
total gain of three amplifiers connected in seris is given by
`A= A_(1) xx A_(2) xx A_(3) = 10 xx 20 xx 30 rARr A = 6000`
But `A = (V_(0))/(V_(in )) rArr V_(0) = A xx V_(in ) = 6000 xx 10^(-3) = 6 V`