Logarithmic Amplifier Calculator

Calculate output voltage for a logarithmic amplifier circuit.

Circuit Parameters

Typical: 1e-12 to 1e-15 A

Output Voltage

-473.46 mV
Natural Log Output
0.000 V
Log10 Output (1V/decade)

Circuit Analysis

Thermal Voltage (Vt)25.70 mV
Input Current100.000 uA
Sensitivity (dVout/dVin)-25.70 mV/V
Typical Dynamic Range3 decades

Formula

Vout = -Vt * ln(Vin / (Rin * Is))

Where Vt = kT/q is the thermal voltage (~26mV at 25C). Temperature compensation is critical for accuracy.