Find the voltage-transfer characteristic vo versus vi


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The operation of the circuit in Figure for small input signals. In this problem we wish to find the voltage-transfer characteristic (VTC) vO versus vI for -12V ≤ vI ≤ 12V for the case I = 1 mA and each of the diodes exhibits a voltage drop of 0.7 V at a current of 1 mA. Toward this end, use the diode exponential characteristic to construct a table that gives the values of: the current iO in the 10-kΩ resistor, the current in each of the four diodes, the voltage drop across each of the four diodes, and the input voltage vI , for vO = 0, +1 V, +2 V, +5 V, +9 V, +9.9 V, +9.99 V, +10.5 V, +11 V, and +12 V. Use these data, with extrapolation to negative values of vI and vO, to sketch the required VTC. Also sketch the VTC that results if I is reduced to 0.5 mA.

(Hint: From symmetry, observe that as vO increases and iO correspondingly increases, iD3 and iD2 increase by equal amounts and iD4 and iD1 decrease by (the same) equal amounts.)

197_input signals.jpg

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Physics: Find the voltage-transfer characteristic vo versus vi
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