Log Amplifier Voltage Calculator

Formula

The formula to calculate the Log Amplifier Voltage (Vo) is:

\[ Vo = K \cdot \ln \left( \frac{Vi}{Vref} \right) \]

Where:

\(Vo\) is the log amplifier voltage
\(K\) is the scale factor
\(Vi\) is the input voltage
\(Vref\) is the normalization constant

Log Amplifier Voltage Definition

A log amplifier voltage is the output voltage of a logarithmic amplifier, which is proportional to the natural logarithm of the ratio of the input voltage to a reference voltage.

Example Calculation

Let's assume the following values:

Scale Factor (K) = 2
Input Voltage (Vi) = 5
Normalization Constant (Vref) = 1

Using the formula to calculate the Log Amplifier Voltage (Vo):

\[ Vo = 2 \cdot \ln \left( \frac{5}{1} \right) = 2 \cdot \ln(5) \approx 3.2189 \]

The Log Amplifier Voltage (Vo) is approximately 3.2189 volts.