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Question Bank (2 marks) · Q7

Q.Explain the effect of positive and negative feedback on the gain of an amplifier.

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[!TLDR]

Positive feedback raises the gain to Af=A/(1−Aβ)A_f = A/(1-A\beta); negative feedback lowers it to Af=A/(1+Aβ)A_f = A/(1+A\beta).

When feedback is applied, a fraction βVo\beta V_o of the output is returned to the input, and the phase of this returned signal decides whether the gain rises or falls.

Positive feedback: VfV_f is in phase with the source, so the net input increases, Vi=Vs+VfV_i = V_s + V_f. Working through A=Vo/ViA = V_o/V_i, Af=Vo/VsA_f = V_o/V_s and β=Vf/Vo\beta = V_f/V_o gives

Af=A1−Aβ.A_f = \frac{A}{1 - A\beta}.

Since 1−Aβ<11 - A\beta < 1, the closed-loop gain is greater than AA. …

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