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Question Bank (3 marks) · Q1

Q.Explain the terms feedback factor, loop gain and closed loop gain.

Karnataka PUCTextbookLong· 3mImportance★★★★★est
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[!TLDR]

Feedback factor β=Vf/Vo\beta = V_f/V_o; loop gain =Aβ= A\beta; closed-loop gain Af=Vo/Vs=A/(1+Aβ)A_f = V_o/V_s = A/(1+A\beta).

In a feedback amplifier a fraction of the output is sampled and returned to the input. Three terms describe this action.

Feedback factor (feedback ratio / feedback fraction), β\beta: it is the ratio of the feedback voltage to the output voltage,

β=VfVo.\beta = \frac{V_f}{V_o}.

It tells us what fraction of the output is fed back, and is fixed by the passive feedback network.

Loop gain, AβA\beta: it is the product of the amplifier's open-loop gain AA and the feedback factor β\beta. It represents the gain experienced by a signal in going once around the feedback loop (amplifier then feedback network), and it decides how strongly feedback modifies the amplifier.

Closed-loop gain, AfA_f: it is the overall gain of the amplifier with feedback connected,

Af=VoVs=A1+AβA_f = \frac{V_o}{V_s} = \frac{A}{1 + A\beta}

for negative feedback. It is smaller than the open-loop gain AA but far more stable.

[!ANSWER]

Feedback factor β=Vf/Vo\beta = V_f/V_o (fraction of output fed back); loop gain =Aβ= A\beta (gain around the loop); closed-loop gain Af=Vo/Vs=A/(1+Aβ)A_f = V_o/V_s = A/(1+A\beta) (overall gain with negative feedback).

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