P 6.3-10 The circuit shown in Figure P 6.3-10 has one input , and one output . Show that the output is proportional to the input. Design the circuit so that gain is .

Figure P 6.3-10

An annotated circuit is provided below

We can see that

We can find from

So solving for

Now we need to find . Looking at the junction on the left in the middle we can see

we can get as we do know one end of R₂ is at ground and the other is at so

So is proportional to the proportionality or the gain is given by

So for a gain of we set

There are many possible solutions. To get one let’s set

then

One possible answer is

Other answers are possible!

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This page last updated on March 13, 2019