Enter Phasors
Relationships
a + jb = M∠θ M = √(a² + b²) θ = atan2(b, a)
Add and subtract in rectangular form. Multiply magnitudes and add angles; divide magnitudes and subtract angles.
Worked Example
A 120∠-30° voltage becomes approximately 103.923 - j60 V. The negative imaginary part shows that the phasor lags the reference axis.
Assumptions and Limits
Phasors represent sinusoidal steady-state quantities at one common frequency. They do not directly represent transients or mixtures of different frequencies.
Use a consistent RMS or peak convention across all phasors. Mixing RMS and peak magnitudes produces incorrect power and circuit results.