Derivation of Circuit Gain for a Non-inverting Amplifier with Finite Op-amp Gain, Assignments of Basic Electronics

In this document, we derive the formula for the circuit gain of a non-inverting amplifier using a finite op-amp gain of a=1.0. We apply the golden rule #1, which states that the input voltages at the positive and negative input terminals are equal, but note that this rule no longer holds due to the finite gain of the op-amp. Instead, we use the voltage difference between the input and output terminals to find the circuit gain.

Typology: Assignments

Pre 2010

Uploaded on 07/28/2009

koofers-user-t64
koofers-user-t64 🇺🇸

10 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Problem T7
Consider the usual non
-
inverting amplifier op
-
amp circuit, shown below.
You will recall that, for an ideal op
-
amp, the circuit gain is
V
out/V
in
= 1 + (R
2
/R
1
) .
This can be arbitrarily large
, depending on your choice of resistors. Now
ass
ume that the op
-
amp has a gain of A=1.0 (instead of
infinity
) and derive
the formula for the circuit gain V
out/V
in
.
Can
V
out/V
in
still be arbitrarily large?
Hint: Golden Rule #1, which says that V
+
=V
, can no longer hold. Instead
V+
V
= V
out
.

Partial preview of the text

Download Derivation of Circuit Gain for a Non-inverting Amplifier with Finite Op-amp Gain and more Assignments Basic Electronics in PDF only on Docsity!

Problem T

Consider the usual non-inverting amplifier op-amp circuit, shown below.

You will recall that, for an ideal op-amp, the circuit gain is

Vout /Vin = 1 + (R 2 /R 1 ).

This can be arbitrarily large, depending on your choice of resistors. Now assume that the op-amp has a gain of A=1.0 (instead of infinity) and derive the formula for the circuit gain V (^) out /Vin. Can Vout /Vin still be arbitrarily large?

Hint: Golden Rule #1, which says that V (^) + =V (^) – , can no longer hold. Instead V+ – V (^) – = V (^) out.