In an arrangement to amplify an audio-signal, the amplifier used has a voltage gain of $A_{V}$ For an input supply $V_{S},$ the output voltage $V_{0}$ will be

V_{0} = A_{V} \times V_{S}

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V_{0} = A_{V} V_{S} \frac{R_{1}}{R_{0}}

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V_{0} = \frac{A_{V} V_{S} R_{1}}{R_{0} + R_{1}}

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V_{0} = A_{V} V_{S} \times \frac{R_{0}}{R_{1}}

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Solution

The correct option is C $V_{0} = \frac{A_{V} V_{S} R_{1}}{R_{0} + R_{1}}$
$\begin{matrix} H e r e, V_{R_{1}} = i R_{1} = \frac{V_{S}}{R_{1} + R_{0}} . R_{1} \Rightarrow V_{0} = A_{V} . V_{R_{1}} = \frac{A_{V} . V_{S} R_{1}}{R_{1} + R_{0}} ∴ V_{0} = \frac{A_{V} . V_{S} R_{1}}{R_{1} + R_{0}} s o t h e c o r r e c t o p t i o n i s C . \end{matrix}$

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