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2mV signal produces a 2V output what is the voltage gain​

Answer» <html><body><h3><img align="absmiddle" alt="\bigstar" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Cbigstar" title="\bigstar"/> <a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a></h3><p></p><p>A 2 mV signal <a href="https://interviewquestions.tuteehub.com/tag/produces-1167808" style="font-weight:bold;" target="_blank" title="Click to know more about PRODUCES">PRODUCES</a> a 2 V output</p><p></p><h3><img align="absmiddle" alt="\bigstar" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Cbigstar" title="\bigstar"/> To Find</h3><p></p><p>Voltage <a href="https://interviewquestions.tuteehub.com/tag/gain-469945" style="font-weight:bold;" target="_blank" title="Click to know more about GAIN">GAIN</a></p><p></p><h3><img align="absmiddle" alt="\bigstar" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=%5Cbigstar" title="\bigstar"/> Solution</h3><p></p><p>We know that</p><p></p><p><img align="absmiddle" alt="\red{\rm \longrightarrow A_{v}=\dfrac{V_{o}}{V_{i}}}" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=%5Cred%7B%5Crm%20%5Clongrightarrow%20A_%7Bv%7D%3D%5Cdfrac%7BV_%7Bo%7D%7D%7BV_%7Bi%7D%7D%7D" title="\red{\rm \longrightarrow A_{v}=\dfrac{V_{o}}{V_{i}}}"/></p><p></p><p>Here</p><p></p><ul><li><img align="absmiddle" alt="\rm A_{v}" class="latex-formula" id="TexFormula5" src="https://tex.z-dn.net/?f=%5Crm%20A_%7Bv%7D" title="\rm A_{v}"/> = Voltage gain</li><li><img align="absmiddle" alt="\rm V_{o}" class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=%5Crm%20V_%7Bo%7D" title="\rm V_{o}"/> = Voltage output</li><li><img align="absmiddle" alt="\rm V_{i}" class="latex-formula" id="TexFormula7" src="https://tex.z-dn.net/?f=%5Crm%20V_%7Bi%7D" title="\rm V_{i}"/> = Voltage input</li></ul><p></p><p>Units</p><p></p><ul><li>Voltage (V)</li></ul><p></p><p>According to the question </p><p></p><p>We are <a href="https://interviewquestions.tuteehub.com/tag/asked-383947" style="font-weight:bold;" target="_blank" title="Click to know more about ASKED">ASKED</a> to find the voltage gain</p><p></p><p>Therefore</p><p></p><p>We <a href="https://interviewquestions.tuteehub.com/tag/must-2185568" style="font-weight:bold;" target="_blank" title="Click to know more about MUST">MUST</a> find "<img align="absmiddle" alt="\rm A_{v}" class="latex-formula" id="TexFormula8" src="https://tex.z-dn.net/?f=%5Crm%20A_%7Bv%7D" title="\rm A_{v}"/>"</p><p></p><p>Given that</p><p></p><p>A 2 mV signal produces a 2 V output</p><p></p><p>Hence</p><p></p><ul><li><img align="absmiddle" alt="\rm V_{o}" class="latex-formula" id="TexFormula9" src="https://tex.z-dn.net/?f=%5Crm%20V_%7Bo%7D" title="\rm V_{o}"/> = 2 V</li><li><img align="absmiddle" alt="\rm V_{i}" class="latex-formula" id="TexFormula10" src="https://tex.z-dn.net/?f=%5Crm%20V_%7Bi%7D" title="\rm V_{i}"/> = 2 mV = 2 × 10⁻³ V</li></ul><p></p><p>Substituting the values</p><p></p><p>We get</p><p></p><p><img align="absmiddle" alt="\rm \longrightarrow A_{v}=\dfrac{2}{2 \times 10^{-3}} \ V" class="latex-formula" id="TexFormula11" src="https://tex.z-dn.net/?f=%5Crm%20%5Clongrightarrow%20A_%7Bv%7D%3D%5Cdfrac%7B2%7D%7B2%20%5Ctimes%2010%5E%7B-3%7D%7D%20%5C%20V" title="\rm \longrightarrow A_{v}=\dfrac{2}{2 \times 10^{-3}} \ V"/></p><p></p><p><img align="absmiddle" alt="\rm \longrightarrow A_{v}=\dfrac{1}{10^{-3}} \ V" class="latex-formula" id="TexFormula12" src="https://tex.z-dn.net/?f=%5Crm%20%5Clongrightarrow%20A_%7Bv%7D%3D%5Cdfrac%7B1%7D%7B10%5E%7B-3%7D%7D%20%5C%20V" title="\rm \longrightarrow A_{v}=\dfrac{1}{10^{-3}} \ V"/></p><p></p><p><img align="absmiddle" alt="\rm \longrightarrow A_{v}=10^{3} \ V" class="latex-formula" id="TexFormula13" src="https://tex.z-dn.net/?f=%5Crm%20%5Clongrightarrow%20A_%7Bv%7D%3D10%5E%7B3%7D%20%5C%20V" title="\rm \longrightarrow A_{v}=10^{3} \ V"/></p><p></p><p>Therefore</p><p></p><p><img align="absmiddle" alt="\pink{\rm \longrightarrow A_{v}=1000 \ V}" class="latex-formula" id="TexFormula14" src="https://tex.z-dn.net/?f=%5Cpink%7B%5Crm%20%5Clongrightarrow%20A_%7Bv%7D%3D1000%20%5C%20V%7D" title="\pink{\rm \longrightarrow A_{v}=1000 \ V}"/></p><p></p><p>Hence</p><p></p><h3><img align="absmiddle" alt="\checkmark" class="latex-formula" id="TexFormula15" src="https://tex.z-dn.net/?f=%5Ccheckmark" title="\checkmark"/> Voltage gain = 1000 V</h3></body></html>


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