Voltage Phase Angle Calculator

Voltage Phase Angle Formula:

\[ V = V_{max} \times \sin(\theta) \]

Instantaneous Voltage (V):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Voltage Phase Angle Formula?

The Voltage Phase Angle formula calculates the instantaneous voltage in an AC circuit at a specific phase angle. It describes how voltage varies sinusoidally with time in alternating current systems.

2. How Does the Calculator Work?

The calculator uses the voltage phase angle formula:

\[ V = V_{max} \times \sin(\theta) \]

Where:

\( V \) — Instantaneous voltage (volts)
\( V_{max} \) — Maximum voltage (volts)
\( \theta \) — Phase angle (degrees)

Explanation: The formula calculates the voltage at any point in the AC cycle by multiplying the peak voltage by the sine of the phase angle.

3. Importance of Phase Angle Calculation

Details: Understanding instantaneous voltage is crucial for analyzing AC circuits, designing electrical systems, and troubleshooting power quality issues.

4. Using the Calculator

Tips: Enter maximum voltage in volts and phase angle in degrees (-360 to 360). The calculator will compute the instantaneous voltage at that phase angle.

5. Frequently Asked Questions (FAQ)

Q1: What is phase angle in AC circuits?
A: Phase angle represents the position in the AC cycle, with 0° being the start, 90° the positive peak, 180° the zero crossing, etc.

Q2: What are typical values for V_max in household circuits?
A: For 120V RMS household voltage, V_max is about 170V (120 × √2).

Q3: Can the phase angle be negative?
A: Yes, negative angles represent phase shifts in the opposite direction or previous cycles.

Q4: How does this relate to three-phase systems?
A: In three-phase systems, each phase is typically 120° apart from the others.

Q5: What's the difference between phase angle and power factor angle?
A: Phase angle here refers to the position in the voltage waveform, while power factor angle is between voltage and current.