The overall gain (\frac{C(S)}{R(S)}) of the block diagram sh... | Electrical and Electronic Measurements | SolveeIt | Solveeit

Today, August 19

Question

The overall gain $\frac{C(S)}{R(S)}$ of the block diagram shown below is

A

$\frac{G_1G_2}{1-G_1G_2H_1H_2}$

B

$\frac{G_1G_2}{1-G_2H_2-G_1G_2H_1}$

C

$\frac{G_1G_2}{1+G_2H_1+G_1G_2H_2}$

D

$\frac{G_1G_2}{1-G_1G_2H_1-G_1G_2H_1}$

Answer

$\frac{G_1G_2}{1+G_2H_1+G_1G_2H_2}$

Explanation

Solution

The correct option is (C): $\frac{G_1G_2}{1+G_2H_1+G_1G_2H_2}$ .