RL Parallel Circuit Impedance Calculator
Find the total impedance, inductive reactance, phase angle, and branch current ratio of an RL parallel circuit from resistance R, inductance L, and frequency f.
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Input
Enter the resistance, inductance, and frequency to compute the total impedance and phase angle of an RL parallel circuit.
Value of the resistor in the parallel branch (ฮฉ)
Inductance of the coil in the parallel branch (H)
Frequency of the applied sinusoidal AC source (Hz)
Result
Total impedance |Z|
18.523355ฮฉ
Real part 3.431147 ฮฉ, imaginary part 18.2028 ฮฉ
Inductive reactance XL
18.849556 ฮฉ
Phase angle
79.325251 deg
Current ratio R to L
15.860014% to 84.139986%
The total impedance and phase are derived from the sum of admittances 1/Z = 1/R + 1/(jฯL), where ฯ is the angular frequency 2ฯf.
How it works
- The total impedance follows from the sum of admittances 1/Z = 1/R + 1/(jฯL), where the angular frequency is ฯ = 2ฯf.
- The inductive reactance is XL = ฯL = 2ฯfL in ohms.
- The impedance magnitude is |Z| = 1 / sqrt((1/R)^2 + (1/XL)^2).
- The phase angle is the phase of voltage relative to current and is positive for an inductive circuit.
- In a parallel circuit each element shares the same voltage, so the current ratio is I_R to I_L equals (1/R) to (1/XL).
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