Verify that the circuit in Fig. P18.52 implements the transfer characteristic vO = v1v2

Chapter 18, Problem 18.52

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Verify that the circuit in Fig. P18.52 implements the transfer characteristic vO = v1v2 for v1, v2 > 0. Such a circuit is known as an analog multiplier. Check the circuits performance for various combinations of input voltage of values, say, 0.5 V, 1 V, 2 V, and 3 V. Assume all diodes to be identical, with 700-mV drop at 1-mA current. Note that a squarer can easily be produced using a single input (e.g., v1) connected via a 0.5-k resistor (rather than the 1-k resistor shown).

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