Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

In Phase Volts (V)

Required number input.

Quadrature Volts (V)

Required number input.

Demodulated lock-in phase angle from signed in-phase and quadrature components. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Phase Degrees (°)

The resulting phase degrees returned as a number.

• Amplifier gain and rejection calculations are small-signal approximations unless the operating point is checked. Gain-bandwidth, slew rate, input and output range, stability, noise, offset, bias current, loading, and frequency-dependent CMRR can limit the result.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

• Reactive Power VAR

  Calculate signed reactive power in volt-amperes reactive from RMS voltage, RMS current, and phase angle.

• Impedance Phase

  Calculate the phase angle of an impedance from reactance and resistance in degrees.

• PLL Lock Time

  Estimate the settling time of a phase-locked loop using the documented rule that lock takes roughly four time constants of the natural frequency in radians per second (4 divided by two pi times the loop bandwidth in Hz).