From Practical Electronics Handbook, Sixth Edition

Negative Feedback

Feedback means using a fraction of the output voltage of a circuit to add to the input. When the signals at the input and the output are oppositely phased (the output is a mirror image of the input), the feedback signal is said to be negative. Negative feedback has the effect of subtracting the fed-back signal from the input signal so that it reduces the overall gain of the amplifier. The effect on the gain is as follows:

Let A o = gain of amplifier with no feedback (also known as the open-loop gain)

? = feedback fraction (or loop gain), so that V out/ ? is fed back

Then the gain of the amplifier when negative feedback is applied is:


For example, if the open-loop gain is 100 and ? = 20 (so 1/20 of the output voltage is fed back in opposite phase), the closed-loop gain is:


A very useful approximation is that if the open-loop gain A o is very much larger than the feedback fraction (loop gain), the closed-loop gain is simply equal to ?. This is because A/ ? is large, much larger than unity, so the 1 in the equation can be neglected. This makes the expression become:


Negative feedback, in addition to reducing gain, also reduces noise signals that originate in the components of the amplifier if these components are within the feedback loop. It will also...

Copyright Ian R. Sinclair and John Dunton 2007 under license agreement with Books24x7

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