RMS Voltage Calculator

How to Use the RMS Voltage Calculator

The RMS Voltage Calculator is a useful tool for converting between different voltage measurements in alternating current (AC) circuits. It allows you to calculate RMS voltage, peak voltage, and peak-to-peak voltage when you know one of these values.

RMS Voltage Formulas

The formulas used in this calculator are:

\[V_{RMS} = \frac{V_{peak}}{\sqrt{2}}\] \[V_{peak} = V_{RMS} \times \sqrt{2}\] \[V_{peak-to-peak} = 2 \times V_{peak}\]

Where:

• V_RMS is the Root Mean Square voltage
• V_peak is the peak voltage
• V_peak-to-peak is the peak-to-peak voltage

How to Use the Calculator

1. Choose the type of voltage you know (Peak or Peak-to-Peak) by selecting the appropriate tab
2. Enter the known voltage value in the input field
3. Select the unit of measurement (mV, V, or kV) from the dropdown menu
4. Click the "Calculate" button
5. The calculator will determine the other voltage values using the appropriate formulas

Example Calculations

Let's explore two scenarios using our RMS Voltage Calculator:

Scenario 1: Known Peak Voltage

Given:

• Peak Voltage = 100 V

Enter this value into the calculator and click "Calculate". The results will show:

• RMS Voltage ≈ 70.71 V
• Peak-to-Peak Voltage = 200 V

Scenario 2: Known Peak-to-Peak Voltage

Given:

• Peak-to-Peak Voltage = 200 V

Enter this value and calculate. The results will show:

• RMS Voltage ≈ 70.71 V
• Peak Voltage = 100 V

These examples demonstrate how you can use the RMS Voltage Calculator to find different voltage measurements in AC circuits. This tool is invaluable for quickly converting between RMS, peak, and peak-to-peak voltages in various electrical applications.

AC Voltage Waveform Diagram

This diagram illustrates an AC voltage waveform, showing the relationships between peak voltage, peak-to-peak voltage, and RMS voltage. The sinusoidal wave represents the alternating nature of the voltage over time, with the various voltage measurements clearly labeled.