Calculate the input voltage if the final output is 10.08 V.

Exercise Problems · Q5

Q. Calculate the input voltage if the final output is 10.08 V.

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[!TLDR]

The three stages give an overall gain of $+60$ , so an output of 10.08 V needs an input of $V_1=0.168\text{ V}$ .

The overall gain is the product of the three stage gains.

Stage 1 (non-inverting, input at $+$ ):

A_1=1+\dfrac{R_f}{R_i}=1+\dfrac{10\text{k}}{5\text{k}}=3

Stage 2 (inverting):

A_2=-\dfrac{R_f}{R_i}=-\dfrac{5\text{k}}{5\text{k}}=-1

Stage 3 (inverting):

A_3=-\dfrac{R_f}{R_i}=-\dfrac{100\text{k}}{5\text{k}}=-20

Overall gain: …

Q.Calculate the input voltage if the final output is 10.08 V.