Log Amplifier Voltage Calculator
Enter the values of gain of the amplifier, K, input voltage, Vi(V) and reference voltage, Vref(V) to determine the value of Output voltage, Vo(V).
Log Amplifier Voltage Formula:
Log amplifier voltage is a key concept in electronics, especially in signal processing and measurement applications.
A log amplifier produces an output voltage proportional to the logarithm of its input voltage.
This is particularly useful in applications requiring a wide dynamic range of signal processing, such as audio signal processing, RF signal processing, and instrumentation.
Output voltage, Vo(V) in volts is calculated by the product of gain of the amplifier, K and ln of ratio of input voltage, Vi(V) in volts and reference voltage, Vref(V) in volts.
Output voltage, Vo(V) = K * ln (Vi(V) / Vref(V))
Vo(V) = output voltage in volts, V.
K = gain of the amplifier.
Vi(V) = input voltage in volts, V.
Vref(V) = reference voltage in volts, V.
Log Amplifier Voltage Calculation:
- Calculate the output voltage of a log amplifier with an input voltage of 2 volts, a reference voltage of 1 volt, and a constant K of 2.
Given: K = 2, Vi(V) = 2V, Vref(V) = 1V.
Output voltage, Vo(V) = K * ln (Vi(V) / Vref(V))
Vo(V) = 2 * ln(2 / 1)
Vo(V) = 2 * ln(2)
Vo(V) = 2 * 0.693
Vo(V) = 1.386V.
- Suppose a log amplifier has an input voltage of 5 volts, a reference voltage of 2 volts, and the output voltage is 2.748V. Calculate the gain of the amplifier.
Given: Vo(V) = 2.748V, Vi(V) = 5V, Vref(V) = 2V.
Output voltage, Vo(V) = K * ln (Vi(V) / Vref(V))
K = Vo(V) / ln (Vi(V) / Vref(V))
K = 2.748 / ln(5/2)
K = 2.748 / ln(2.5)
K = 2.748 / 0.916
K = 3.
Applications and Considerations:
- Signal Processing: Log amplifiers are extensively used in signal processing applications to compress the dynamic range of signals.
- Instrumentation: In measurement systems, log amplifiers help in handling signals with a wide range of magnitudes.
- Audio and RF Applications: They are useful in audio signal processing and RF applications where signals can vary over several orders of magnitude.