Effective Value Calculator for Different Waveforms

Formulas

The formulas to calculate the effective value for different waveforms are:

Sine Wave:

\[ U_{eff} = \frac{U_m}{\sqrt{2}} \]

Triangle Wave:

\[ U_{eff} = \frac{U_m}{\sqrt{3}} \]

Square Wave:

\[ U_{eff} = U_m \]

Pulse Wave:

\[ U_{eff} = \sqrt{\frac{U_m^2 \cdot \tau}{T}} \]

Where:

\( U_{eff} \) is the effective value in volts (V)
\( U_m \) is the peak value in volts (V)
\( \tau \) is the pulse duration in seconds (s)
\( T \) is the period in seconds (s)

What is Effective Value?

The effective value (also known as RMS value) of a waveform is a measure of the equivalent DC value that would produce the same heating effect in a resistor. Different waveforms have different relationships between their peak and effective values. This calculator provides the effective value based on the waveform type and its peak value.

Example Calculation

Let's assume the following values for a sine wave:

Peak Value (\( U_m \)): 10 V

Step 1: Calculate the effective value:

\[ U_{eff} = \frac{10}{\sqrt{2}} \approx 7.07 \text{ V} \]