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The following measurement system is designed to obtain the root mean square (RMS...

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The following measurement system is designed to obtain the root mean square (RMS) voltage of sine waves without any dc component, such as .

RMS detector circuit

The first stage operates as a full-wave rectifier with gain , as shown in the input-output characteristic in the figure below. The second stage consists of an averaging circuit with gain .

Circuit

Assuming , determine such that the output voltage corresponds to the RMS value of the input signal .

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