RL Series Circuit Impedance Calculator
Compute the AC impedance, inductive reactance, phase angle, and power factor of an RL series circuit from resistance R, inductance L, and frequency f.
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Input
Enter resistance R, inductance L, and frequency f to compute the impedance of an RL series circuit.
Ω
Enter the resistance value in ohms.
H
Enter the inductance value in henries.
Hz
Enter the AC frequency in hertz.
Result
Impedance magnitude Z
101.226183Ω
Angular frequency omega = 314.159265 rad/s
Inductive reactance XL
15.707963 Ω
Phase angle theta
8.927055 deg
Power factor cos theta
0.987887
Computed from Z = square root of (R squared plus XL squared), XL = 2 pi f L, phase angle theta = atan(XL divided by R), and power factor = R divided by Z.
How it works
- The angular frequency is found from omega = 2 pi f, where f is the frequency.
- The inductive reactance is XL = omega L.
- The impedance magnitude is Z = square root of (R squared plus XL squared).
- The phase angle is theta = atan(XL divided by R), the angle by which voltage leads current.
- The power factor is cos theta = R divided by Z.
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