Abstract
A circuit which accepts two input dc voltages V1 and V2 and provides an output dc voltage VO equal to the square root of the sum of the two squared voltages of V1 and V2, using an LM311 open collector comparator based single quadrant time division multiplier is described in this paper.
Highlights
A circuit for the square root of the sum of two squared voltages is often needed in instrumentation and control systems, in phase sensitive detectors [1] which play an important role in impedance measurements and power measurements
A sawtooth wave, marked as Vs in Figure 1, of peak value Vt is generated by the opamps OA1, OA2 and the switch S1
The LM311 comparator has the characteristic that if the –ve input is greater than +ve input voltage, its output goes to LOW
Summary
A circuit for the square root of the sum of two squared voltages is often needed in instrumentation and control systems, in phase sensitive detectors [1] which play an important role in impedance measurements and power measurements. A different approach employing operational amplifiers, an LM 311 open collector comparator and switches is described here. A sawtooth wave, marked as Vs, of peak value Vt is generated by the opamps OA1, OA2 and the switch S1.
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