1. What is RMS Voltage?

The RMS (Root Mean Square) voltage is the equivalent DC voltage that would produce the same power dissipation in a resistive load. For AC circuits, it's the effective voltage value.

2. How Does the Calculator Work?

The calculator uses the RMS equation:

Where:

• \( V_{peak} \) — Peak voltage (maximum voltage)
• \( \sqrt{2} \) — Approximately 1.4142

Explanation: The equation converts peak voltage to RMS voltage for sinusoidal waveforms.

3. Importance of RMS Calculation

Details: RMS values are crucial for power calculations, circuit design, and comparing AC and DC systems. Most AC voltmeters display RMS values.

4. Using the Calculator

Tips: Enter peak voltage in volts. The value must be positive. The calculator works for pure sinusoidal waveforms.

5. Frequently Asked Questions (FAQ)

Q1: Why use RMS instead of peak voltage?
A: RMS gives the equivalent DC voltage that would deliver the same power, making it more useful for practical calculations.

Q2: Is this calculation valid for all waveforms?
A: No, this specific equation is only valid for pure sine waves. Other waveforms require different calculations.

Q3: What's the relationship between RMS and peak-to-peak voltage?
A: For sine waves: \( V_{RMS} = \frac{V_{peak-to-peak}}{2\sqrt{2}} \)

Q4: How does this relate to household AC voltage?
A: Standard 120V AC is the RMS value. The peak voltage is about 170V (120 × √2).

Q5: When would I need to use peak voltage instead?
A: Peak voltage is important for insulation design and when components have voltage limits that shouldn't be exceeded.