In the circuit shown below , the output voltage is proportional to a) ln V(in) b) exp(V(in)) c) |V(in)| d) -|V(in)|
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@Vincent-Lyon.Fr @perl @iGreen @mathmate
i am looking for a formula to use
We know for this circuit that \[V _{o} =-( R _{diode}/ R)*V _{i}\] How does the characteristic resistance of the diode vary?
no resistance. when it is forward biased.
when it is reversed biased , it does not allow the current to pass. now, how to proceed?
This is a "log amplifier"
When it is forward biased there is a distinct relationship between current and voltage over a limited range of voltages near the conduction point
The choice A would be correct if it was preceded by a negative sign, as it is an inverting log amp.
Vout = -Vt In(Vin/IsR)
Where Vt is the thermal voltage, Is is saturation current, Vin is the input voltage.
I would say a) as well.
answer is option (c)
where |Vin| means modulus of Vin
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