Question

A voltage of $35 \mathrm{mV}$ is applied to the input of a voltage amplifier. What gain is required to produce an output voltage of $10 \mathrm{~V}$, (a) expressed as a voltage ratio. (b) expressed in decibels.

   A voltage of $35 \mathrm{mV}$ is applied to the input of a voltage amplifier. What gain is required to produce an output voltage of $10 \mathrm{~V}$,
(a) expressed as a voltage ratio.
(b) expressed in decibels.
Essentials of Electrical and Computer Engineering
Essentials of Electrical and Computer Engineering
David V. Kerns, Jr.,… 1st Edition
Chapter 8, Problem 18 ↓

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We have an input voltage \( V_{in} = 35 \mathrm{mV} = 0.035 \mathrm{V} \) and an output voltage \( V_{out} = 10 \mathrm{V} \).  Show more…

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A voltage of $35 \mathrm{mV}$ is applied to the input of a voltage amplifier. What gain is required to produce an output voltage of $10 \mathrm{~V}$, (a) expressed as a voltage ratio. (b) expressed in decibels.
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Key Concepts

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Voltage Gain
Voltage gain is the ratio of the output voltage to the input voltage in an amplifier. It quantifies how much the amplifier increases the strength of the input signal, giving a direct measure of the amplification factor.
Decibels
Decibels provide a logarithmic way of expressing the ratio between two values, such as voltages. To convert a voltage ratio to decibels, the formula 20 log10(Vout/Vin) is used, which is particularly useful in signal processing for managing large ranges of values.

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